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Finding the Fourth Proportional to 1,583.28, 2,180.04 and 1,346.76

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Solution

The fourth proportional to 1,583.28, 2,180.04 and 1,346.76 is: 1,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.28 : 2,180.04 = 1,346.76 : x
  2. Step 2: Convert to fraction form
    1,583.28/2,180.04 = 1,346.76/x
  3. Step 3: Cross multiply
    1,583.28x = 2,180.04 × 1,346.76
  4. Step 4: Simplify right side
    1,583.28x = 2,935,990.67
  5. Step 5: Solve for x
    x = 2,935,990.67/1,583.28
  6. Step 6: Final answer
    x = 1,854.37

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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.