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Finding the Fourth Proportional to 2,497.47, 3,446.45 and 1,378.39

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Solution

The fourth proportional to 2,497.47, 3,446.45 and 1,378.39 is: 1,902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.47 : 3,446.45 = 1,378.39 : x
  2. Step 2: Convert to fraction form
    2,497.47/3,446.45 = 1,378.39/x
  3. Step 3: Cross multiply
    2,497.47x = 3,446.45 × 1,378.39
  4. Step 4: Simplify right side
    2,497.47x = 4,750,536.77
  5. Step 5: Solve for x
    x = 4,750,536.77/2,497.47
  6. Step 6: Final answer
    x = 1,902.14

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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.