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Finding the Fourth Proportional to 2,717.79, 4,077.29 and 869.06

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Solution

The fourth proportional to 2,717.79, 4,077.29 and 869.06 is: 1,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.79 : 4,077.29 = 869.06 : x
  2. Step 2: Convert to fraction form
    2,717.79/4,077.29 = 869.06/x
  3. Step 3: Cross multiply
    2,717.79x = 4,077.29 × 869.06
  4. Step 4: Simplify right side
    2,717.79x = 3,543,384.92
  5. Step 5: Solve for x
    x = 3,543,384.92/2,717.79
  6. Step 6: Final answer
    x = 1,303.77

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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.