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Finding the Fourth Proportional to 2,366.03, 3,264.13 and 1,408.75

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Solution

The fourth proportional to 2,366.03, 3,264.13 and 1,408.75 is: 1,943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.03 : 3,264.13 = 1,408.75 : x
  2. Step 2: Convert to fraction form
    2,366.03/3,264.13 = 1,408.75/x
  3. Step 3: Cross multiply
    2,366.03x = 3,264.13 × 1,408.75
  4. Step 4: Simplify right side
    2,366.03x = 4,598,343.14
  5. Step 5: Solve for x
    x = 4,598,343.14/2,366.03
  6. Step 6: Final answer
    x = 1,943.48

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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.