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Finding the Fourth Proportional to 2,275.29, 3,411.03 and 714.33

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Solution

The fourth proportional to 2,275.29, 3,411.03 and 714.33 is: 1,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.29 : 3,411.03 = 714.33 : x
  2. Step 2: Convert to fraction form
    2,275.29/3,411.03 = 714.33/x
  3. Step 3: Cross multiply
    2,275.29x = 3,411.03 × 714.33
  4. Step 4: Simplify right side
    2,275.29x = 2,436,601.06
  5. Step 5: Solve for x
    x = 2,436,601.06/2,275.29
  6. Step 6: Final answer
    x = 1,070.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.