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Finding the Fourth Proportional to 2,355.48, 3,534.13 and 1,744.34

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Solution

The fourth proportional to 2,355.48, 3,534.13 and 1,744.34 is: 2,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.48 : 3,534.13 = 1,744.34 : x
  2. Step 2: Convert to fraction form
    2,355.48/3,534.13 = 1,744.34/x
  3. Step 3: Cross multiply
    2,355.48x = 3,534.13 × 1,744.34
  4. Step 4: Simplify right side
    2,355.48x = 6,164,708.83
  5. Step 5: Solve for x
    x = 6,164,708.83/2,355.48
  6. Step 6: Final answer
    x = 2,617.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.