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Finding the Fourth Proportional to 2,671.53, 4,008.11 and 1,284.47

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Solution

The fourth proportional to 2,671.53, 4,008.11 and 1,284.47 is: 1,927.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.53 : 4,008.11 = 1,284.47 : x
  2. Step 2: Convert to fraction form
    2,671.53/4,008.11 = 1,284.47/x
  3. Step 3: Cross multiply
    2,671.53x = 4,008.11 × 1,284.47
  4. Step 4: Simplify right side
    2,671.53x = 5,148,311.78
  5. Step 5: Solve for x
    x = 5,148,311.78/2,671.53
  6. Step 6: Final answer
    x = 1,927.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.