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Finding the Fourth Proportional to 2,545.34, 3,512.54 and 1,426.28

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Solution

The fourth proportional to 2,545.34, 3,512.54 and 1,426.28 is: 1,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.34 : 3,512.54 = 1,426.28 : x
  2. Step 2: Convert to fraction form
    2,545.34/3,512.54 = 1,426.28/x
  3. Step 3: Cross multiply
    2,545.34x = 3,512.54 × 1,426.28
  4. Step 4: Simplify right side
    2,545.34x = 5,009,851.55
  5. Step 5: Solve for x
    x = 5,009,851.55/2,545.34
  6. Step 6: Final answer
    x = 1,968.25

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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.