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Finding the Fourth Proportional to 2,073.17, 2,859.53 and 1,408.87

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Solution

The fourth proportional to 2,073.17, 2,859.53 and 1,408.87 is: 1,943.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.17 : 2,859.53 = 1,408.87 : x
  2. Step 2: Convert to fraction form
    2,073.17/2,859.53 = 1,408.87/x
  3. Step 3: Cross multiply
    2,073.17x = 2,859.53 × 1,408.87
  4. Step 4: Simplify right side
    2,073.17x = 4,028,706.03
  5. Step 5: Solve for x
    x = 4,028,706.03/2,073.17
  6. Step 6: Final answer
    x = 1,943.26

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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.