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Finding the Fourth Proportional to 2,707.45, 4,061.15 and 858.52

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Solution

The fourth proportional to 2,707.45, 4,061.15 and 858.52 is: 1,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.45 : 4,061.15 = 858.52 : x
  2. Step 2: Convert to fraction form
    2,707.45/4,061.15 = 858.52/x
  3. Step 3: Cross multiply
    2,707.45x = 4,061.15 × 858.52
  4. Step 4: Simplify right side
    2,707.45x = 3,486,579.81
  5. Step 5: Solve for x
    x = 3,486,579.81/2,707.45
  6. Step 6: Final answer
    x = 1,287.77

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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.