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Finding the Fourth Proportional to 1,358.61, 2,034.27 and 1,137.48

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Solution

The fourth proportional to 1,358.61, 2,034.27 and 1,137.48 is: 1,703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.61 : 2,034.27 = 1,137.48 : x
  2. Step 2: Convert to fraction form
    1,358.61/2,034.27 = 1,137.48/x
  3. Step 3: Cross multiply
    1,358.61x = 2,034.27 × 1,137.48
  4. Step 4: Simplify right side
    1,358.61x = 2,313,941.44
  5. Step 5: Solve for x
    x = 2,313,941.44/1,358.61
  6. Step 6: Final answer
    x = 1,703.17

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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.