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Finding the Fourth Proportional to 2,981.83, 4,115.10 and 1,655.68

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Solution

The fourth proportional to 2,981.83, 4,115.10 and 1,655.68 is: 2,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.83 : 4,115.10 = 1,655.68 : x
  2. Step 2: Convert to fraction form
    2,981.83/4,115.10 = 1,655.68/x
  3. Step 3: Cross multiply
    2,981.83x = 4,115.10 × 1,655.68
  4. Step 4: Simplify right side
    2,981.83x = 6,813,288.77
  5. Step 5: Solve for x
    x = 6,813,288.77/2,981.83
  6. Step 6: Final answer
    x = 2,284.94

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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.