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Finding the Fourth Proportional to 2,034.64, 3,036.76 and 1,755.76

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Solution

The fourth proportional to 2,034.64, 3,036.76 and 1,755.76 is: 2,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.64 : 3,036.76 = 1,755.76 : x
  2. Step 2: Convert to fraction form
    2,034.64/3,036.76 = 1,755.76/x
  3. Step 3: Cross multiply
    2,034.64x = 3,036.76 × 1,755.76
  4. Step 4: Simplify right side
    2,034.64x = 5,331,821.74
  5. Step 5: Solve for x
    x = 5,331,821.74/2,034.64
  6. Step 6: Final answer
    x = 2,620.52

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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.