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Finding the Fourth Proportional to 1,602.27, 2,404.14 and 870.96

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Solution

The fourth proportional to 1,602.27, 2,404.14 and 870.96 is: 1,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.27 : 2,404.14 = 870.96 : x
  2. Step 2: Convert to fraction form
    1,602.27/2,404.14 = 870.96/x
  3. Step 3: Cross multiply
    1,602.27x = 2,404.14 × 870.96
  4. Step 4: Simplify right side
    1,602.27x = 2,093,909.77
  5. Step 5: Solve for x
    x = 2,093,909.77/1,602.27
  6. Step 6: Final answer
    x = 1,306.84

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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.