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Finding the Fourth Proportional to 2,574, 3,547.92 and 2,013.48

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Solution

The fourth proportional to 2,574, 3,547.92 and 2,013.48 is: 2,775.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574 : 3,547.92 = 2,013.48 : x
  2. Step 2: Convert to fraction form
    2,574/3,547.92 = 2,013.48/x
  3. Step 3: Cross multiply
    2,574x = 3,547.92 × 2,013.48
  4. Step 4: Simplify right side
    2,574x = 7,143,665.96
  5. Step 5: Solve for x
    x = 7,143,665.96/2,574
  6. Step 6: Final answer
    x = 2,775.32

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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.