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Finding the Fourth Proportional to 1,730.05, 2,387.49 and 944.11

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Solution

The fourth proportional to 1,730.05, 2,387.49 and 944.11 is: 1,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.05 : 2,387.49 = 944.11 : x
  2. Step 2: Convert to fraction form
    1,730.05/2,387.49 = 944.11/x
  3. Step 3: Cross multiply
    1,730.05x = 2,387.49 × 944.11
  4. Step 4: Simplify right side
    1,730.05x = 2,254,053.18
  5. Step 5: Solve for x
    x = 2,254,053.18/1,730.05
  6. Step 6: Final answer
    x = 1,302.88

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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.