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Finding the Fourth Proportional to 1,456.86, 2,184.86 and 716.10

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Solution

The fourth proportional to 1,456.86, 2,184.86 and 716.10 is: 1,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.86 : 2,184.86 = 716.10 : x
  2. Step 2: Convert to fraction form
    1,456.86/2,184.86 = 716.10/x
  3. Step 3: Cross multiply
    1,456.86x = 2,184.86 × 716.10
  4. Step 4: Simplify right side
    1,456.86x = 1,564,578.25
  5. Step 5: Solve for x
    x = 1,564,578.25/1,456.86
  6. Step 6: Final answer
    x = 1,073.94

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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.