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Finding the Fourth Proportional to 2,497.64, 3,446.76 and 1,363.39

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Solution

The fourth proportional to 2,497.64, 3,446.76 and 1,363.39 is: 1,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.64 : 3,446.76 = 1,363.39 : x
  2. Step 2: Convert to fraction form
    2,497.64/3,446.76 = 1,363.39/x
  3. Step 3: Cross multiply
    2,497.64x = 3,446.76 × 1,363.39
  4. Step 4: Simplify right side
    2,497.64x = 4,699,278.12
  5. Step 5: Solve for x
    x = 4,699,278.12/2,497.64
  6. Step 6: Final answer
    x = 1,881.49

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1.5x scale

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.