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Finding the Fourth Proportional to 2,570.57, 3,547.18 and 1,451.78

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Solution

The fourth proportional to 2,570.57, 3,547.18 and 1,451.78 is: 2,003.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.57 : 3,547.18 = 1,451.78 : x
  2. Step 2: Convert to fraction form
    2,570.57/3,547.18 = 1,451.78/x
  3. Step 3: Cross multiply
    2,570.57x = 3,547.18 × 1,451.78
  4. Step 4: Simplify right side
    2,570.57x = 5,149,724.98
  5. Step 5: Solve for x
    x = 5,149,724.98/2,570.57
  6. Step 6: Final answer
    x = 2,003.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.