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Finding the Fourth Proportional to 2,046.84, 2,823.92 and 1,574.88

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Solution

The fourth proportional to 2,046.84, 2,823.92 and 1,574.88 is: 2,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.84 : 2,823.92 = 1,574.88 : x
  2. Step 2: Convert to fraction form
    2,046.84/2,823.92 = 1,574.88/x
  3. Step 3: Cross multiply
    2,046.84x = 2,823.92 × 1,574.88
  4. Step 4: Simplify right side
    2,046.84x = 4,447,335.13
  5. Step 5: Solve for x
    x = 4,447,335.13/2,046.84
  6. Step 6: Final answer
    x = 2,172.78

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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.