Home / 2,292.02-3,438.16-732.14

Finding the Fourth Proportional to 2,292.02, 3,438.16 and 732.14

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Solution

The fourth proportional to 2,292.02, 3,438.16 and 732.14 is: 1,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.02 : 3,438.16 = 732.14 : x
  2. Step 2: Convert to fraction form
    2,292.02/3,438.16 = 732.14/x
  3. Step 3: Cross multiply
    2,292.02x = 3,438.16 × 732.14
  4. Step 4: Simplify right side
    2,292.02x = 2,517,214.46
  5. Step 5: Solve for x
    x = 2,517,214.46/2,292.02
  6. Step 6: Final answer
    x = 1,098.25

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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.