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Finding the Fourth Proportional to 2,175.64, 2,998.98 and 1,475.80

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Solution

The fourth proportional to 2,175.64, 2,998.98 and 1,475.80 is: 2,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.64 : 2,998.98 = 1,475.80 : x
  2. Step 2: Convert to fraction form
    2,175.64/2,998.98 = 1,475.80/x
  3. Step 3: Cross multiply
    2,175.64x = 2,998.98 × 1,475.80
  4. Step 4: Simplify right side
    2,175.64x = 4,425,894.68
  5. Step 5: Solve for x
    x = 4,425,894.68/2,175.64
  6. Step 6: Final answer
    x = 2,034.30

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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.