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Finding the Fourth Proportional to 2,459.96, 3,687.87 and 1,000.14

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Solution

The fourth proportional to 2,459.96, 3,687.87 and 1,000.14 is: 1,499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.96 : 3,687.87 = 1,000.14 : x
  2. Step 2: Convert to fraction form
    2,459.96/3,687.87 = 1,000.14/x
  3. Step 3: Cross multiply
    2,459.96x = 3,687.87 × 1,000.14
  4. Step 4: Simplify right side
    2,459.96x = 3,688,386.30
  5. Step 5: Solve for x
    x = 3,688,386.30/2,459.96
  6. Step 6: Final answer
    x = 1,499.37

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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.