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Finding the Fourth Proportional to 1,671.66, 2,508.09 and 576.33

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Solution

The fourth proportional to 1,671.66, 2,508.09 and 576.33 is: 864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.66 : 2,508.09 = 576.33 : x
  2. Step 2: Convert to fraction form
    1,671.66/2,508.09 = 576.33/x
  3. Step 3: Cross multiply
    1,671.66x = 2,508.09 × 576.33
  4. Step 4: Simplify right side
    1,671.66x = 1,445,487.51
  5. Step 5: Solve for x
    x = 1,445,487.51/1,671.66
  6. Step 6: Final answer
    x = 864.70

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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.