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Finding the Fourth Proportional to 1,671.28, 2,507.06 and 575.72

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Solution

The fourth proportional to 1,671.28, 2,507.06 and 575.72 is: 863.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.28 : 2,507.06 = 575.72 : x
  2. Step 2: Convert to fraction form
    1,671.28/2,507.06 = 575.72/x
  3. Step 3: Cross multiply
    1,671.28x = 2,507.06 × 575.72
  4. Step 4: Simplify right side
    1,671.28x = 1,443,364.58
  5. Step 5: Solve for x
    x = 1,443,364.58/1,671.28
  6. Step 6: Final answer
    x = 863.63

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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.