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Finding the Fourth Proportional to 2,034.48, 2,809.58 and 1,738.02

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Solution

The fourth proportional to 2,034.48, 2,809.58 and 1,738.02 is: 2,400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.48 : 2,809.58 = 1,738.02 : x
  2. Step 2: Convert to fraction form
    2,034.48/2,809.58 = 1,738.02/x
  3. Step 3: Cross multiply
    2,034.48x = 2,809.58 × 1,738.02
  4. Step 4: Simplify right side
    2,034.48x = 4,883,106.23
  5. Step 5: Solve for x
    x = 4,883,106.23/2,034.48
  6. Step 6: Final answer
    x = 2,400.17

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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.