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Finding the Fourth Proportional to 1,532.79, 2,297.61 and 873.81

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Solution

The fourth proportional to 1,532.79, 2,297.61 and 873.81 is: 1,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.79 : 2,297.61 = 873.81 : x
  2. Step 2: Convert to fraction form
    1,532.79/2,297.61 = 873.81/x
  3. Step 3: Cross multiply
    1,532.79x = 2,297.61 × 873.81
  4. Step 4: Simplify right side
    1,532.79x = 2,007,674.59
  5. Step 5: Solve for x
    x = 2,007,674.59/1,532.79
  6. Step 6: Final answer
    x = 1,309.82

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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.