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Finding the Fourth Proportional to 2,981.67, 4,114.80 and 1,655.49

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Solution

The fourth proportional to 2,981.67, 4,114.80 and 1,655.49 is: 2,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.67 : 4,114.80 = 1,655.49 : x
  2. Step 2: Convert to fraction form
    2,981.67/4,114.80 = 1,655.49/x
  3. Step 3: Cross multiply
    2,981.67x = 4,114.80 × 1,655.49
  4. Step 4: Simplify right side
    2,981.67x = 6,812,025.68
  5. Step 5: Solve for x
    x = 6,812,025.68/2,981.67
  6. Step 6: Final answer
    x = 2,284.64

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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.