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Finding the Fourth Proportional to 2,981.62, 4,114.82 and 1,655.35

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Solution

The fourth proportional to 2,981.62, 4,114.82 and 1,655.35 is: 2,284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.62 : 4,114.82 = 1,655.35 : x
  2. Step 2: Convert to fraction form
    2,981.62/4,114.82 = 1,655.35/x
  3. Step 3: Cross multiply
    2,981.62x = 4,114.82 × 1,655.35
  4. Step 4: Simplify right side
    2,981.62x = 6,811,446.71
  5. Step 5: Solve for x
    x = 6,811,446.71/2,981.62
  6. Step 6: Final answer
    x = 2,284.48

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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.