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Finding the Fourth Proportional to 2,671.84, 3,687.13 and 1,476.83

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Solution

The fourth proportional to 2,671.84, 3,687.13 and 1,476.83 is: 2,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.84 : 3,687.13 = 1,476.83 : x
  2. Step 2: Convert to fraction form
    2,671.84/3,687.13 = 1,476.83/x
  3. Step 3: Cross multiply
    2,671.84x = 3,687.13 × 1,476.83
  4. Step 4: Simplify right side
    2,671.84x = 5,445,264.20
  5. Step 5: Solve for x
    x = 5,445,264.20/2,671.84
  6. Step 6: Final answer
    x = 2,038.02

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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.