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Finding the Fourth Proportional to 2,883.70, 4,320.06 and 2,424.52

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Solution

The fourth proportional to 2,883.70, 4,320.06 and 2,424.52 is: 3,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.70 : 4,320.06 = 2,424.52 : x
  2. Step 2: Convert to fraction form
    2,883.70/4,320.06 = 2,424.52/x
  3. Step 3: Cross multiply
    2,883.70x = 4,320.06 × 2,424.52
  4. Step 4: Simplify right side
    2,883.70x = 10,474,071.87
  5. Step 5: Solve for x
    x = 10,474,071.87/2,883.70
  6. Step 6: Final answer
    x = 3,632.16

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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.