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Finding the Fourth Proportional to 2,870.79, 4,288.73 and 1,822.38

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Solution

The fourth proportional to 2,870.79, 4,288.73 and 1,822.38 is: 2,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.79 : 4,288.73 = 1,822.38 : x
  2. Step 2: Convert to fraction form
    2,870.79/4,288.73 = 1,822.38/x
  3. Step 3: Cross multiply
    2,870.79x = 4,288.73 × 1,822.38
  4. Step 4: Simplify right side
    2,870.79x = 7,815,695.78
  5. Step 5: Solve for x
    x = 7,815,695.78/2,870.79
  6. Step 6: Final answer
    x = 2,722.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.