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Finding the Fourth Proportional to 2,275.02, 3,414.02 and 2,089.13

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Solution

The fourth proportional to 2,275.02, 3,414.02 and 2,089.13 is: 3,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.02 : 3,414.02 = 2,089.13 : x
  2. Step 2: Convert to fraction form
    2,275.02/3,414.02 = 2,089.13/x
  3. Step 3: Cross multiply
    2,275.02x = 3,414.02 × 2,089.13
  4. Step 4: Simplify right side
    2,275.02x = 7,132,304.09
  5. Step 5: Solve for x
    x = 7,132,304.09/2,275.02
  6. Step 6: Final answer
    x = 3,135.05

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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.