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Finding the Fourth Proportional to 1,957.42, 2,932.98 and 1,339.03

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Solution

The fourth proportional to 1,957.42, 2,932.98 and 1,339.03 is: 2,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.42 : 2,932.98 = 1,339.03 : x
  2. Step 2: Convert to fraction form
    1,957.42/2,932.98 = 1,339.03/x
  3. Step 3: Cross multiply
    1,957.42x = 2,932.98 × 1,339.03
  4. Step 4: Simplify right side
    1,957.42x = 3,927,348.21
  5. Step 5: Solve for x
    x = 3,927,348.21/1,957.42
  6. Step 6: Final answer
    x = 2,006.39

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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.