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Finding the Fourth Proportional to 1,562, 2,344.64 and 947.24

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Solution

The fourth proportional to 1,562, 2,344.64 and 947.24 is: 1,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562 : 2,344.64 = 947.24 : x
  2. Step 2: Convert to fraction form
    1,562/2,344.64 = 947.24/x
  3. Step 3: Cross multiply
    1,562x = 2,344.64 × 947.24
  4. Step 4: Simplify right side
    1,562x = 2,220,936.79
  5. Step 5: Solve for x
    x = 2,220,936.79/1,562
  6. Step 6: Final answer
    x = 1,421.85

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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.