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Finding the Fourth Proportional to 1,655.73, 2,283.76 and 1,158.49

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Solution

The fourth proportional to 1,655.73, 2,283.76 and 1,158.49 is: 1,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.73 : 2,283.76 = 1,158.49 : x
  2. Step 2: Convert to fraction form
    1,655.73/2,283.76 = 1,158.49/x
  3. Step 3: Cross multiply
    1,655.73x = 2,283.76 × 1,158.49
  4. Step 4: Simplify right side
    1,655.73x = 2,645,713.12
  5. Step 5: Solve for x
    x = 2,645,713.12/1,655.73
  6. Step 6: Final answer
    x = 1,597.91

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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.