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Finding the Fourth Proportional to 1,358.31, 2,039.13 and 896.48

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Solution

The fourth proportional to 1,358.31, 2,039.13 and 896.48 is: 1,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.31 : 2,039.13 = 896.48 : x
  2. Step 2: Convert to fraction form
    1,358.31/2,039.13 = 896.48/x
  3. Step 3: Cross multiply
    1,358.31x = 2,039.13 × 896.48
  4. Step 4: Simplify right side
    1,358.31x = 1,828,039.26
  5. Step 5: Solve for x
    x = 1,828,039.26/1,358.31
  6. Step 6: Final answer
    x = 1,345.82

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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.