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Finding the Fourth Proportional to 2,981.04, 4,113.86 and 1,654.84

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Solution

The fourth proportional to 2,981.04, 4,113.86 and 1,654.84 is: 2,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.04 : 4,113.86 = 1,654.84 : x
  2. Step 2: Convert to fraction form
    2,981.04/4,113.86 = 1,654.84/x
  3. Step 3: Cross multiply
    2,981.04x = 4,113.86 × 1,654.84
  4. Step 4: Simplify right side
    2,981.04x = 6,807,780.08
  5. Step 5: Solve for x
    x = 6,807,780.08/2,981.04
  6. Step 6: Final answer
    x = 2,283.69

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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.