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Finding the Fourth Proportional to 2,322.57, 3,483.88 and 1,859.75

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Solution

The fourth proportional to 2,322.57, 3,483.88 and 1,859.75 is: 2,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.57 : 3,483.88 = 1,859.75 : x
  2. Step 2: Convert to fraction form
    2,322.57/3,483.88 = 1,859.75/x
  3. Step 3: Cross multiply
    2,322.57x = 3,483.88 × 1,859.75
  4. Step 4: Simplify right side
    2,322.57x = 6,479,123.76
  5. Step 5: Solve for x
    x = 6,479,123.76/2,322.57
  6. Step 6: Final answer
    x = 2,789.64

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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.