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Finding the Fourth Proportional to 2,702.34, 4,053.54 and 947.27

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Solution

The fourth proportional to 2,702.34, 4,053.54 and 947.27 is: 1,420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.34 : 4,053.54 = 947.27 : x
  2. Step 2: Convert to fraction form
    2,702.34/4,053.54 = 947.27/x
  3. Step 3: Cross multiply
    2,702.34x = 4,053.54 × 947.27
  4. Step 4: Simplify right side
    2,702.34x = 3,839,776.57
  5. Step 5: Solve for x
    x = 3,839,776.57/2,702.34
  6. Step 6: Final answer
    x = 1,420.91

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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.