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Finding the Fourth Proportional to 2,143.34, 2,957.10 and 1,357.28

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Solution

The fourth proportional to 2,143.34, 2,957.10 and 1,357.28 is: 1,872.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.34 : 2,957.10 = 1,357.28 : x
  2. Step 2: Convert to fraction form
    2,143.34/2,957.10 = 1,357.28/x
  3. Step 3: Cross multiply
    2,143.34x = 2,957.10 × 1,357.28
  4. Step 4: Simplify right side
    2,143.34x = 4,013,612.69
  5. Step 5: Solve for x
    x = 4,013,612.69/2,143.34
  6. Step 6: Final answer
    x = 1,872.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.