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Finding the Fourth Proportional to 2,707.39, 4,061.11 and 858.51

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Solution

The fourth proportional to 2,707.39, 4,061.11 and 858.51 is: 1,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.39 : 4,061.11 = 858.51 : x
  2. Step 2: Convert to fraction form
    2,707.39/4,061.11 = 858.51/x
  3. Step 3: Cross multiply
    2,707.39x = 4,061.11 × 858.51
  4. Step 4: Simplify right side
    2,707.39x = 3,486,503.55
  5. Step 5: Solve for x
    x = 3,486,503.55/2,707.39
  6. Step 6: Final answer
    x = 1,287.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.