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Finding the Fourth Proportional to 1,356.68, 2,032.90 and 1,049.28

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Solution

The fourth proportional to 1,356.68, 2,032.90 and 1,049.28 is: 1,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.68 : 2,032.90 = 1,049.28 : x
  2. Step 2: Convert to fraction form
    1,356.68/2,032.90 = 1,049.28/x
  3. Step 3: Cross multiply
    1,356.68x = 2,032.90 × 1,049.28
  4. Step 4: Simplify right side
    1,356.68x = 2,133,081.31
  5. Step 5: Solve for x
    x = 2,133,081.31/1,356.68
  6. Step 6: Final answer
    x = 1,572.28

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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.