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Finding the Fourth Proportional to 2,449.40, 3,677.70 and 1,477.40

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Solution

The fourth proportional to 2,449.40, 3,677.70 and 1,477.40 is: 2,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.40 : 3,677.70 = 1,477.40 : x
  2. Step 2: Convert to fraction form
    2,449.40/3,677.70 = 1,477.40/x
  3. Step 3: Cross multiply
    2,449.40x = 3,677.70 × 1,477.40
  4. Step 4: Simplify right side
    2,449.40x = 5,433,433.98
  5. Step 5: Solve for x
    x = 5,433,433.98/2,449.40
  6. Step 6: Final answer
    x = 2,218.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.