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Finding the Fourth Proportional to 1,730.64, 2,387.41 and 1,140.96

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Solution

The fourth proportional to 1,730.64, 2,387.41 and 1,140.96 is: 1,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.64 : 2,387.41 = 1,140.96 : x
  2. Step 2: Convert to fraction form
    1,730.64/2,387.41 = 1,140.96/x
  3. Step 3: Cross multiply
    1,730.64x = 2,387.41 × 1,140.96
  4. Step 4: Simplify right side
    1,730.64x = 2,723,939.31
  5. Step 5: Solve for x
    x = 2,723,939.31/1,730.64
  6. Step 6: Final answer
    x = 1,573.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.