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Finding the Fourth Proportional to 2,497.60, 3,445.77 and 1,449.46

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Solution

The fourth proportional to 2,497.60, 3,445.77 and 1,449.46 is: 1,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.60 : 3,445.77 = 1,449.46 : x
  2. Step 2: Convert to fraction form
    2,497.60/3,445.77 = 1,449.46/x
  3. Step 3: Cross multiply
    2,497.60x = 3,445.77 × 1,449.46
  4. Step 4: Simplify right side
    2,497.60x = 4,994,505.78
  5. Step 5: Solve for x
    x = 4,994,505.78/2,497.60
  6. Step 6: Final answer
    x = 1,999.72

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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.