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Finding the Fourth Proportional to 2,034.98, 2,810.26 and 1,738.52

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Solution

The fourth proportional to 2,034.98, 2,810.26 and 1,738.52 is: 2,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.98 : 2,810.26 = 1,738.52 : x
  2. Step 2: Convert to fraction form
    2,034.98/2,810.26 = 1,738.52/x
  3. Step 3: Cross multiply
    2,034.98x = 2,810.26 × 1,738.52
  4. Step 4: Simplify right side
    2,034.98x = 4,885,693.22
  5. Step 5: Solve for x
    x = 4,885,693.22/2,034.98
  6. Step 6: Final answer
    x = 2,400.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.