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Finding the Fourth Proportional to 2,087.60, 3,129.14 and 1,357.70

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Solution

The fourth proportional to 2,087.60, 3,129.14 and 1,357.70 is: 2,035.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.60 : 3,129.14 = 1,357.70 : x
  2. Step 2: Convert to fraction form
    2,087.60/3,129.14 = 1,357.70/x
  3. Step 3: Cross multiply
    2,087.60x = 3,129.14 × 1,357.70
  4. Step 4: Simplify right side
    2,087.60x = 4,248,433.38
  5. Step 5: Solve for x
    x = 4,248,433.38/2,087.60
  6. Step 6: Final answer
    x = 2,035.08

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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.