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Finding the Fourth Proportional to 3,061.95, 4,589.74 and 1,417.15

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Solution

The fourth proportional to 3,061.95, 4,589.74 and 1,417.15 is: 2,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.95 : 4,589.74 = 1,417.15 : x
  2. Step 2: Convert to fraction form
    3,061.95/4,589.74 = 1,417.15/x
  3. Step 3: Cross multiply
    3,061.95x = 4,589.74 × 1,417.15
  4. Step 4: Simplify right side
    3,061.95x = 6,504,327.75
  5. Step 5: Solve for x
    x = 6,504,327.75/3,061.95
  6. Step 6: Final answer
    x = 2,124.24

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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.