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Finding the Fourth Proportional to 1,368.17, 2,053.03 and 906.18

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Solution

The fourth proportional to 1,368.17, 2,053.03 and 906.18 is: 1,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.17 : 2,053.03 = 906.18 : x
  2. Step 2: Convert to fraction form
    1,368.17/2,053.03 = 906.18/x
  3. Step 3: Cross multiply
    1,368.17x = 2,053.03 × 906.18
  4. Step 4: Simplify right side
    1,368.17x = 1,860,414.73
  5. Step 5: Solve for x
    x = 1,860,414.73/1,368.17
  6. Step 6: Final answer
    x = 1,359.78

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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.