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Finding the Fourth Proportional to 2,497.10, 3,446.02 and 1,378.08

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Solution

The fourth proportional to 2,497.10, 3,446.02 and 1,378.08 is: 1,901.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.10 : 3,446.02 = 1,378.08 : x
  2. Step 2: Convert to fraction form
    2,497.10/3,446.02 = 1,378.08/x
  3. Step 3: Cross multiply
    2,497.10x = 3,446.02 × 1,378.08
  4. Step 4: Simplify right side
    2,497.10x = 4,748,891.24
  5. Step 5: Solve for x
    x = 4,748,891.24/2,497.10
  6. Step 6: Final answer
    x = 1,901.76

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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.