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Finding the Fourth Proportional to 2,981.56, 4,114.46 and 1,655.24

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Solution

The fourth proportional to 2,981.56, 4,114.46 and 1,655.24 is: 2,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.56 : 4,114.46 = 1,655.24 : x
  2. Step 2: Convert to fraction form
    2,981.56/4,114.46 = 1,655.24/x
  3. Step 3: Cross multiply
    2,981.56x = 4,114.46 × 1,655.24
  4. Step 4: Simplify right side
    2,981.56x = 6,810,418.77
  5. Step 5: Solve for x
    x = 6,810,418.77/2,981.56
  6. Step 6: Final answer
    x = 2,284.18

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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.