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Finding the Fourth Proportional to 2,546.86, 3,514.84 and 1,428

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Solution

The fourth proportional to 2,546.86, 3,514.84 and 1,428 is: 1,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.86 : 3,514.84 = 1,428 : x
  2. Step 2: Convert to fraction form
    2,546.86/3,514.84 = 1,428/x
  3. Step 3: Cross multiply
    2,546.86x = 3,514.84 × 1,428
  4. Step 4: Simplify right side
    2,546.86x = 5,019,191.52
  5. Step 5: Solve for x
    x = 5,019,191.52/2,546.86
  6. Step 6: Final answer
    x = 1,970.74

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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.