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Finding the Fourth Proportional to 1,432.47, 2,148.18 and 651.81

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Solution

The fourth proportional to 1,432.47, 2,148.18 and 651.81 is: 977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.47 : 2,148.18 = 651.81 : x
  2. Step 2: Convert to fraction form
    1,432.47/2,148.18 = 651.81/x
  3. Step 3: Cross multiply
    1,432.47x = 2,148.18 × 651.81
  4. Step 4: Simplify right side
    1,432.47x = 1,400,205.21
  5. Step 5: Solve for x
    x = 1,400,205.21/1,432.47
  6. Step 6: Final answer
    x = 977.48

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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.