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Finding the Fourth Proportional to 2,459.16, 3,684.42 and 1,431

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Solution

The fourth proportional to 2,459.16, 3,684.42 and 1,431 is: 2,143.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.16 : 3,684.42 = 1,431 : x
  2. Step 2: Convert to fraction form
    2,459.16/3,684.42 = 1,431/x
  3. Step 3: Cross multiply
    2,459.16x = 3,684.42 × 1,431
  4. Step 4: Simplify right side
    2,459.16x = 5,272,405.02
  5. Step 5: Solve for x
    x = 5,272,405.02/2,459.16
  6. Step 6: Final answer
    x = 2,143.99

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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.