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Finding the Fourth Proportional to 2,390.14, 3,585.39 and 658.75

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Solution

The fourth proportional to 2,390.14, 3,585.39 and 658.75 is: 988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.14 : 3,585.39 = 658.75 : x
  2. Step 2: Convert to fraction form
    2,390.14/3,585.39 = 658.75/x
  3. Step 3: Cross multiply
    2,390.14x = 3,585.39 × 658.75
  4. Step 4: Simplify right side
    2,390.14x = 2,361,875.66
  5. Step 5: Solve for x
    x = 2,361,875.66/2,390.14
  6. Step 6: Final answer
    x = 988.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.