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Finding the Fourth Proportional to 2,778.84, 4,160.16 and 2,407.50

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Solution

The fourth proportional to 2,778.84, 4,160.16 and 2,407.50 is: 3,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.84 : 4,160.16 = 2,407.50 : x
  2. Step 2: Convert to fraction form
    2,778.84/4,160.16 = 2,407.50/x
  3. Step 3: Cross multiply
    2,778.84x = 4,160.16 × 2,407.50
  4. Step 4: Simplify right side
    2,778.84x = 10,015,585.20
  5. Step 5: Solve for x
    x = 10,015,585.20/2,778.84
  6. Step 6: Final answer
    x = 3,604.23

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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.