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Finding the Fourth Proportional to 2,957.92, 4,434.65 and 1,397.00

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Solution

The fourth proportional to 2,957.92, 4,434.65 and 1,397.00 is: 2,094.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.92 : 4,434.65 = 1,397.00 : x
  2. Step 2: Convert to fraction form
    2,957.92/4,434.65 = 1,397.00/x
  3. Step 3: Cross multiply
    2,957.92x = 4,434.65 × 1,397.00
  4. Step 4: Simplify right side
    2,957.92x = 6,195,190.45
  5. Step 5: Solve for x
    x = 6,195,190.45/2,957.92
  6. Step 6: Final answer
    x = 2,094.44

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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.