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Finding the Fourth Proportional to 2,498.95, 3,447.19 and 1,503.63

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Solution

The fourth proportional to 2,498.95, 3,447.19 and 1,503.63 is: 2,074.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.95 : 3,447.19 = 1,503.63 : x
  2. Step 2: Convert to fraction form
    2,498.95/3,447.19 = 1,503.63/x
  3. Step 3: Cross multiply
    2,498.95x = 3,447.19 × 1,503.63
  4. Step 4: Simplify right side
    2,498.95x = 5,183,300.18
  5. Step 5: Solve for x
    x = 5,183,300.18/2,498.95
  6. Step 6: Final answer
    x = 2,074.19

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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.