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Finding the Fourth Proportional to 2,701.03, 4,051.09 and 752.78

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Solution

The fourth proportional to 2,701.03, 4,051.09 and 752.78 is: 1,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.03 : 4,051.09 = 752.78 : x
  2. Step 2: Convert to fraction form
    2,701.03/4,051.09 = 752.78/x
  3. Step 3: Cross multiply
    2,701.03x = 4,051.09 × 752.78
  4. Step 4: Simplify right side
    2,701.03x = 3,049,579.53
  5. Step 5: Solve for x
    x = 3,049,579.53/2,701.03
  6. Step 6: Final answer
    x = 1,129.04

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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.