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Finding the Fourth Proportional to 1,677.06, 2,515.59 and 909.06

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Solution

The fourth proportional to 1,677.06, 2,515.59 and 909.06 is: 1,363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.06 : 2,515.59 = 909.06 : x
  2. Step 2: Convert to fraction form
    1,677.06/2,515.59 = 909.06/x
  3. Step 3: Cross multiply
    1,677.06x = 2,515.59 × 909.06
  4. Step 4: Simplify right side
    1,677.06x = 2,286,822.25
  5. Step 5: Solve for x
    x = 2,286,822.25/1,677.06
  6. Step 6: Final answer
    x = 1,363.59

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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.