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Finding the Fourth Proportional to 2,175.46, 3,001.80 and 1,429.72

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Solution

The fourth proportional to 2,175.46, 3,001.80 and 1,429.72 is: 1,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.46 : 3,001.80 = 1,429.72 : x
  2. Step 2: Convert to fraction form
    2,175.46/3,001.80 = 1,429.72/x
  3. Step 3: Cross multiply
    2,175.46x = 3,001.80 × 1,429.72
  4. Step 4: Simplify right side
    2,175.46x = 4,291,733.50
  5. Step 5: Solve for x
    x = 4,291,733.50/2,175.46
  6. Step 6: Final answer
    x = 1,972.79

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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.