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Finding the Fourth Proportional to 2,432.70, 3,646.31 and 970.14

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Solution

The fourth proportional to 2,432.70, 3,646.31 and 970.14 is: 1,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.70 : 3,646.31 = 970.14 : x
  2. Step 2: Convert to fraction form
    2,432.70/3,646.31 = 970.14/x
  3. Step 3: Cross multiply
    2,432.70x = 3,646.31 × 970.14
  4. Step 4: Simplify right side
    2,432.70x = 3,537,431.18
  5. Step 5: Solve for x
    x = 3,537,431.18/2,432.70
  6. Step 6: Final answer
    x = 1,454.12

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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.