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Finding the Fourth Proportional to 2,371.47, 3,555.68 and 985.77

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Solution

The fourth proportional to 2,371.47, 3,555.68 and 985.77 is: 1,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.47 : 3,555.68 = 985.77 : x
  2. Step 2: Convert to fraction form
    2,371.47/3,555.68 = 985.77/x
  3. Step 3: Cross multiply
    2,371.47x = 3,555.68 × 985.77
  4. Step 4: Simplify right side
    2,371.47x = 3,505,082.67
  5. Step 5: Solve for x
    x = 3,505,082.67/2,371.47
  6. Step 6: Final answer
    x = 1,478.02

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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.