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Finding the Fourth Proportional to 2,087.29, 3,130.45 and 606.12

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Solution

The fourth proportional to 2,087.29, 3,130.45 and 606.12 is: 909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.29 : 3,130.45 = 606.12 : x
  2. Step 2: Convert to fraction form
    2,087.29/3,130.45 = 606.12/x
  3. Step 3: Cross multiply
    2,087.29x = 3,130.45 × 606.12
  4. Step 4: Simplify right side
    2,087.29x = 1,897,428.35
  5. Step 5: Solve for x
    x = 1,897,428.35/2,087.29
  6. Step 6: Final answer
    x = 909.04

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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.