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Finding the Fourth Proportional to 2,045.16, 3,052.02 and 2,033.47

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Solution

The fourth proportional to 2,045.16, 3,052.02 and 2,033.47 is: 3,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.16 : 3,052.02 = 2,033.47 : x
  2. Step 2: Convert to fraction form
    2,045.16/3,052.02 = 2,033.47/x
  3. Step 3: Cross multiply
    2,045.16x = 3,052.02 × 2,033.47
  4. Step 4: Simplify right side
    2,045.16x = 6,206,191.11
  5. Step 5: Solve for x
    x = 6,206,191.11/2,045.16
  6. Step 6: Final answer
    x = 3,034.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.