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Finding the Fourth Proportional to 2,281.50, 3,422.25 and 913.50

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Solution

The fourth proportional to 2,281.50, 3,422.25 and 913.50 is: 1,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.50 : 3,422.25 = 913.50 : x
  2. Step 2: Convert to fraction form
    2,281.50/3,422.25 = 913.50/x
  3. Step 3: Cross multiply
    2,281.50x = 3,422.25 × 913.50
  4. Step 4: Simplify right side
    2,281.50x = 3,126,225.38
  5. Step 5: Solve for x
    x = 3,126,225.38/2,281.50
  6. Step 6: Final answer
    x = 1,370.25

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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.