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Finding the Fourth Proportional to 2,984.43, 4,118.52 and 1,658.15

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Solution

The fourth proportional to 2,984.43, 4,118.52 and 1,658.15 is: 2,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.43 : 4,118.52 = 1,658.15 : x
  2. Step 2: Convert to fraction form
    2,984.43/4,118.52 = 1,658.15/x
  3. Step 3: Cross multiply
    2,984.43x = 4,118.52 × 1,658.15
  4. Step 4: Simplify right side
    2,984.43x = 6,829,123.94
  5. Step 5: Solve for x
    x = 6,829,123.94/2,984.43
  6. Step 6: Final answer
    x = 2,288.25

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