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Finding the Fourth Proportional to 2,689.06, 4,033.12 and 740.80

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Solution

The fourth proportional to 2,689.06, 4,033.12 and 740.80 is: 1,111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.06 : 4,033.12 = 740.80 : x
  2. Step 2: Convert to fraction form
    2,689.06/4,033.12 = 740.80/x
  3. Step 3: Cross multiply
    2,689.06x = 4,033.12 × 740.80
  4. Step 4: Simplify right side
    2,689.06x = 2,987,735.30
  5. Step 5: Solve for x
    x = 2,987,735.30/2,689.06
  6. Step 6: Final answer
    x = 1,111.07

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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.