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Finding the Fourth Proportional to 1,531.60, 2,296.14 and 606.76

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Solution

The fourth proportional to 1,531.60, 2,296.14 and 606.76 is: 909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.60 : 2,296.14 = 606.76 : x
  2. Step 2: Convert to fraction form
    1,531.60/2,296.14 = 606.76/x
  3. Step 3: Cross multiply
    1,531.60x = 2,296.14 × 606.76
  4. Step 4: Simplify right side
    1,531.60x = 1,393,205.91
  5. Step 5: Solve for x
    x = 1,393,205.91/1,531.60
  6. Step 6: Final answer
    x = 909.64

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