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Finding the Fourth Proportional to 2,295.39, 3,443.10 and 909.06

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Solution

The fourth proportional to 2,295.39, 3,443.10 and 909.06 is: 1,363.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.39 : 3,443.10 = 909.06 : x
  2. Step 2: Convert to fraction form
    2,295.39/3,443.10 = 909.06/x
  3. Step 3: Cross multiply
    2,295.39x = 3,443.10 × 909.06
  4. Step 4: Simplify right side
    2,295.39x = 3,129,984.49
  5. Step 5: Solve for x
    x = 3,129,984.49/2,295.39
  6. Step 6: Final answer
    x = 1,363.60

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.