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Finding the Fourth Proportional to 2,570.31, 3,547.03 and 1,391.38

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Solution

The fourth proportional to 2,570.31, 3,547.03 and 1,391.38 is: 1,920.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.31 : 3,547.03 = 1,391.38 : x
  2. Step 2: Convert to fraction form
    2,570.31/3,547.03 = 1,391.38/x
  3. Step 3: Cross multiply
    2,570.31x = 3,547.03 × 1,391.38
  4. Step 4: Simplify right side
    2,570.31x = 4,935,254.91
  5. Step 5: Solve for x
    x = 4,935,254.91/2,570.31
  6. Step 6: Final answer
    x = 1,920.10

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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.