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Finding the Fourth Proportional to 1,658.04, 2,274.80 and 1,614.92

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Solution

The fourth proportional to 1,658.04, 2,274.80 and 1,614.92 is: 2,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.04 : 2,274.80 = 1,614.92 : x
  2. Step 2: Convert to fraction form
    1,658.04/2,274.80 = 1,614.92/x
  3. Step 3: Cross multiply
    1,658.04x = 2,274.80 × 1,614.92
  4. Step 4: Simplify right side
    1,658.04x = 3,673,620.02
  5. Step 5: Solve for x
    x = 3,673,620.02/1,658.04
  6. Step 6: Final answer
    x = 2,215.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.