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Finding the Fourth Proportional to 1,671.14, 2,506.43 and 575.35

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Solution

The fourth proportional to 1,671.14, 2,506.43 and 575.35 is: 862.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.14 : 2,506.43 = 575.35 : x
  2. Step 2: Convert to fraction form
    1,671.14/2,506.43 = 575.35/x
  3. Step 3: Cross multiply
    1,671.14x = 2,506.43 × 575.35
  4. Step 4: Simplify right side
    1,671.14x = 1,442,069.67
  5. Step 5: Solve for x
    x = 1,442,069.67/1,671.14
  6. Step 6: Final answer
    x = 862.92

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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.