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Finding the Fourth Proportional to 1,957.90, 2,934.80 and 658.92

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Solution

The fourth proportional to 1,957.90, 2,934.80 and 658.92 is: 987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.90 : 2,934.80 = 658.92 : x
  2. Step 2: Convert to fraction form
    1,957.90/2,934.80 = 658.92/x
  3. Step 3: Cross multiply
    1,957.90x = 2,934.80 × 658.92
  4. Step 4: Simplify right side
    1,957.90x = 1,933,798.42
  5. Step 5: Solve for x
    x = 1,933,798.42/1,957.90
  6. Step 6: Final answer
    x = 987.69

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1.5x scale

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.