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Finding the Fourth Proportional to 1,497.48, 2,244.84 and 911.04

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Solution

The fourth proportional to 1,497.48, 2,244.84 and 911.04 is: 1,365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.48 : 2,244.84 = 911.04 : x
  2. Step 2: Convert to fraction form
    1,497.48/2,244.84 = 911.04/x
  3. Step 3: Cross multiply
    1,497.48x = 2,244.84 × 911.04
  4. Step 4: Simplify right side
    1,497.48x = 2,045,139.03
  5. Step 5: Solve for x
    x = 2,045,139.03/1,497.48
  6. Step 6: Final answer
    x = 1,365.72

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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.