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Finding the Fourth Proportional to 1,671.80, 2,304.50 and 1,376.55

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Solution

The fourth proportional to 1,671.80, 2,304.50 and 1,376.55 is: 1,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.80 : 2,304.50 = 1,376.55 : x
  2. Step 2: Convert to fraction form
    1,671.80/2,304.50 = 1,376.55/x
  3. Step 3: Cross multiply
    1,671.80x = 2,304.50 × 1,376.55
  4. Step 4: Simplify right side
    1,671.80x = 3,172,252.59
  5. Step 5: Solve for x
    x = 3,172,252.59/1,671.80
  6. Step 6: Final answer
    x = 1,897.51

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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.