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Finding the Fourth Proportional to 1,456.86, 2,180.70 and 936.17

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Solution

The fourth proportional to 1,456.86, 2,180.70 and 936.17 is: 1,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.86 : 2,180.70 = 936.17 : x
  2. Step 2: Convert to fraction form
    1,456.86/2,180.70 = 936.17/x
  3. Step 3: Cross multiply
    1,456.86x = 2,180.70 × 936.17
  4. Step 4: Simplify right side
    1,456.86x = 2,041,495.02
  5. Step 5: Solve for x
    x = 2,041,495.02/1,456.86
  6. Step 6: Final answer
    x = 1,401.30

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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.