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Finding the Fourth Proportional to 2,742.92, 3,785.24 and 1,483.98

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Solution

The fourth proportional to 2,742.92, 3,785.24 and 1,483.98 is: 2,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.92 : 3,785.24 = 1,483.98 : x
  2. Step 2: Convert to fraction form
    2,742.92/3,785.24 = 1,483.98/x
  3. Step 3: Cross multiply
    2,742.92x = 3,785.24 × 1,483.98
  4. Step 4: Simplify right side
    2,742.92x = 5,617,211.84
  5. Step 5: Solve for x
    x = 5,617,211.84/2,742.92
  6. Step 6: Final answer
    x = 2,047.90

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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.