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Finding the Fourth Proportional to 2,497.30, 3,446.03 and 1,378.28

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Solution

The fourth proportional to 2,497.30, 3,446.03 and 1,378.28 is: 1,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.30 : 3,446.03 = 1,378.28 : x
  2. Step 2: Convert to fraction form
    2,497.30/3,446.03 = 1,378.28/x
  3. Step 3: Cross multiply
    2,497.30x = 3,446.03 × 1,378.28
  4. Step 4: Simplify right side
    2,497.30x = 4,749,606.29
  5. Step 5: Solve for x
    x = 4,749,606.29/2,497.30
  6. Step 6: Final answer
    x = 1,901.90

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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.