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Finding the Fourth Proportional to 2,432.64, 3,649.50 and 701.40

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Solution

The fourth proportional to 2,432.64, 3,649.50 and 701.40 is: 1,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.64 : 3,649.50 = 701.40 : x
  2. Step 2: Convert to fraction form
    2,432.64/3,649.50 = 701.40/x
  3. Step 3: Cross multiply
    2,432.64x = 3,649.50 × 701.40
  4. Step 4: Simplify right side
    2,432.64x = 2,559,759.30
  5. Step 5: Solve for x
    x = 2,559,759.30/2,432.64
  6. Step 6: Final answer
    x = 1,052.26

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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.