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Finding the Fourth Proportional to 1,359.42, 2,039.17 and 900.14

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Solution

The fourth proportional to 1,359.42, 2,039.17 and 900.14 is: 1,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.42 : 2,039.17 = 900.14 : x
  2. Step 2: Convert to fraction form
    1,359.42/2,039.17 = 900.14/x
  3. Step 3: Cross multiply
    1,359.42x = 2,039.17 × 900.14
  4. Step 4: Simplify right side
    1,359.42x = 1,835,538.48
  5. Step 5: Solve for x
    x = 1,835,538.48/1,359.42
  6. Step 6: Final answer
    x = 1,350.24

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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.