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Finding the Fourth Proportional to 2,981.80, 4,114.90 and 1,655.55

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Solution

The fourth proportional to 2,981.80, 4,114.90 and 1,655.55 is: 2,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.80 : 4,114.90 = 1,655.55 : x
  2. Step 2: Convert to fraction form
    2,981.80/4,114.90 = 1,655.55/x
  3. Step 3: Cross multiply
    2,981.80x = 4,114.90 × 1,655.55
  4. Step 4: Simplify right side
    2,981.80x = 6,812,402.12
  5. Step 5: Solve for x
    x = 6,812,402.12/2,981.80
  6. Step 6: Final answer
    x = 2,284.66

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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.