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Finding the Fourth Proportional to 2,456.39, 3,684.53 and 607.46

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Solution

The fourth proportional to 2,456.39, 3,684.53 and 607.46 is: 911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.39 : 3,684.53 = 607.46 : x
  2. Step 2: Convert to fraction form
    2,456.39/3,684.53 = 607.46/x
  3. Step 3: Cross multiply
    2,456.39x = 3,684.53 × 607.46
  4. Step 4: Simplify right side
    2,456.39x = 2,238,204.59
  5. Step 5: Solve for x
    x = 2,238,204.59/2,456.39
  6. Step 6: Final answer
    x = 911.18

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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.