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Finding the Fourth Proportional to 2,546.76, 3,514.80 and 1,552.14

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Solution

The fourth proportional to 2,546.76, 3,514.80 and 1,552.14 is: 2,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.76 : 3,514.80 = 1,552.14 : x
  2. Step 2: Convert to fraction form
    2,546.76/3,514.80 = 1,552.14/x
  3. Step 3: Cross multiply
    2,546.76x = 3,514.80 × 1,552.14
  4. Step 4: Simplify right side
    2,546.76x = 5,455,461.67
  5. Step 5: Solve for x
    x = 5,455,461.67/2,546.76
  6. Step 6: Final answer
    x = 2,142.12

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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.