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Finding the Fourth Proportional to 1,714.52, 2,565.38 and 1,021.56

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Solution

The fourth proportional to 1,714.52, 2,565.38 and 1,021.56 is: 1,528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.52 : 2,565.38 = 1,021.56 : x
  2. Step 2: Convert to fraction form
    1,714.52/2,565.38 = 1,021.56/x
  3. Step 3: Cross multiply
    1,714.52x = 2,565.38 × 1,021.56
  4. Step 4: Simplify right side
    1,714.52x = 2,620,689.59
  5. Step 5: Solve for x
    x = 2,620,689.59/1,714.52
  6. Step 6: Final answer
    x = 1,528.53

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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.