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Finding the Fourth Proportional to 1,497.80, 2,064.78 and 1,104.20

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Solution

The fourth proportional to 1,497.80, 2,064.78 and 1,104.20 is: 1,522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.80 : 2,064.78 = 1,104.20 : x
  2. Step 2: Convert to fraction form
    1,497.80/2,064.78 = 1,104.20/x
  3. Step 3: Cross multiply
    1,497.80x = 2,064.78 × 1,104.20
  4. Step 4: Simplify right side
    1,497.80x = 2,279,930.08
  5. Step 5: Solve for x
    x = 2,279,930.08/1,497.80
  6. Step 6: Final answer
    x = 1,522.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.