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Finding the Fourth Proportional to 2,356.90, 3,549.05 and 1,744.94

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Solution

The fourth proportional to 2,356.90, 3,549.05 and 1,744.94 is: 2,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.90 : 3,549.05 = 1,744.94 : x
  2. Step 2: Convert to fraction form
    2,356.90/3,549.05 = 1,744.94/x
  3. Step 3: Cross multiply
    2,356.90x = 3,549.05 × 1,744.94
  4. Step 4: Simplify right side
    2,356.90x = 6,192,886.00
  5. Step 5: Solve for x
    x = 6,192,886.00/2,356.90
  6. Step 6: Final answer
    x = 2,627.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.