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Finding the Fourth Proportional to 1,755.90, 2,424.33 and 1,568.79

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Solution

The fourth proportional to 1,755.90, 2,424.33 and 1,568.79 is: 2,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.90 : 2,424.33 = 1,568.79 : x
  2. Step 2: Convert to fraction form
    1,755.90/2,424.33 = 1,568.79/x
  3. Step 3: Cross multiply
    1,755.90x = 2,424.33 × 1,568.79
  4. Step 4: Simplify right side
    1,755.90x = 3,803,264.66
  5. Step 5: Solve for x
    x = 3,803,264.66/1,755.90
  6. Step 6: Final answer
    x = 2,165.99

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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.