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Finding the Fourth Proportional to 2,002.33, 2,764.13 and 1,505.13

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Solution

The fourth proportional to 2,002.33, 2,764.13 and 1,505.13 is: 2,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.33 : 2,764.13 = 1,505.13 : x
  2. Step 2: Convert to fraction form
    2,002.33/2,764.13 = 1,505.13/x
  3. Step 3: Cross multiply
    2,002.33x = 2,764.13 × 1,505.13
  4. Step 4: Simplify right side
    2,002.33x = 4,160,361.17
  5. Step 5: Solve for x
    x = 4,160,361.17/2,002.33
  6. Step 6: Final answer
    x = 2,077.77

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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.