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Finding the Fourth Proportional to 1,341.18, 2,009.85 and 724.38

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Solution

The fourth proportional to 1,341.18, 2,009.85 and 724.38 is: 1,085.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.18 : 2,009.85 = 724.38 : x
  2. Step 2: Convert to fraction form
    1,341.18/2,009.85 = 724.38/x
  3. Step 3: Cross multiply
    1,341.18x = 2,009.85 × 724.38
  4. Step 4: Simplify right side
    1,341.18x = 1,455,895.14
  5. Step 5: Solve for x
    x = 1,455,895.14/1,341.18
  6. Step 6: Final answer
    x = 1,085.53

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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.