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Finding the Fourth Proportional to 2,528.44, 3,792.05 and 772.97

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Solution

The fourth proportional to 2,528.44, 3,792.05 and 772.97 is: 1,159.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.44 : 3,792.05 = 772.97 : x
  2. Step 2: Convert to fraction form
    2,528.44/3,792.05 = 772.97/x
  3. Step 3: Cross multiply
    2,528.44x = 3,792.05 × 772.97
  4. Step 4: Simplify right side
    2,528.44x = 2,931,118.06
  5. Step 5: Solve for x
    x = 2,931,118.06/2,528.44
  6. Step 6: Final answer
    x = 1,159.26

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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.