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Finding the Fourth Proportional to 2,431.17, 3,646.58 and 787.57

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Solution

The fourth proportional to 2,431.17, 3,646.58 and 787.57 is: 1,181.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.17 : 3,646.58 = 787.57 : x
  2. Step 2: Convert to fraction form
    2,431.17/3,646.58 = 787.57/x
  3. Step 3: Cross multiply
    2,431.17x = 3,646.58 × 787.57
  4. Step 4: Simplify right side
    2,431.17x = 2,871,923.96
  5. Step 5: Solve for x
    x = 2,871,923.96/2,431.17
  6. Step 6: Final answer
    x = 1,181.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.