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Finding the Fourth Proportional to 2,175.18, 3,262.71 and 925.83

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Solution

The fourth proportional to 2,175.18, 3,262.71 and 925.83 is: 1,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.18 : 3,262.71 = 925.83 : x
  2. Step 2: Convert to fraction form
    2,175.18/3,262.71 = 925.83/x
  3. Step 3: Cross multiply
    2,175.18x = 3,262.71 × 925.83
  4. Step 4: Simplify right side
    2,175.18x = 3,020,714.80
  5. Step 5: Solve for x
    x = 3,020,714.80/2,175.18
  6. Step 6: Final answer
    x = 1,388.72

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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.