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Finding the Fourth Proportional to 2,570.49, 3,547.25 and 1,451.42

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Solution

The fourth proportional to 2,570.49, 3,547.25 and 1,451.42 is: 2,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.49 : 3,547.25 = 1,451.42 : x
  2. Step 2: Convert to fraction form
    2,570.49/3,547.25 = 1,451.42/x
  3. Step 3: Cross multiply
    2,570.49x = 3,547.25 × 1,451.42
  4. Step 4: Simplify right side
    2,570.49x = 5,148,524.60
  5. Step 5: Solve for x
    x = 5,148,524.60/2,570.49
  6. Step 6: Final answer
    x = 2,002.94

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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.