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Finding the Fourth Proportional to 2,076.64, 2,866.80 and 1,454.56

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Solution

The fourth proportional to 2,076.64, 2,866.80 and 1,454.56 is: 2,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.64 : 2,866.80 = 1,454.56 : x
  2. Step 2: Convert to fraction form
    2,076.64/2,866.80 = 1,454.56/x
  3. Step 3: Cross multiply
    2,076.64x = 2,866.80 × 1,454.56
  4. Step 4: Simplify right side
    2,076.64x = 4,169,932.61
  5. Step 5: Solve for x
    x = 4,169,932.61/2,076.64
  6. Step 6: Final answer
    x = 2,008.02

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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.