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Finding the Fourth Proportional to 1,642.46, 2,459.73 and 947.42

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Solution

The fourth proportional to 1,642.46, 2,459.73 and 947.42 is: 1,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.46 : 2,459.73 = 947.42 : x
  2. Step 2: Convert to fraction form
    1,642.46/2,459.73 = 947.42/x
  3. Step 3: Cross multiply
    1,642.46x = 2,459.73 × 947.42
  4. Step 4: Simplify right side
    1,642.46x = 2,330,397.40
  5. Step 5: Solve for x
    x = 2,330,397.40/1,642.46
  6. Step 6: Final answer
    x = 1,418.85

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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.