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Finding the Fourth Proportional to 2,777.60, 4,155.97 and 1,662.92

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Solution

The fourth proportional to 2,777.60, 4,155.97 and 1,662.92 is: 2,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.60 : 4,155.97 = 1,662.92 : x
  2. Step 2: Convert to fraction form
    2,777.60/4,155.97 = 1,662.92/x
  3. Step 3: Cross multiply
    2,777.60x = 4,155.97 × 1,662.92
  4. Step 4: Simplify right side
    2,777.60x = 6,911,045.63
  5. Step 5: Solve for x
    x = 6,911,045.63/2,777.60
  6. Step 6: Final answer
    x = 2,488.14

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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.