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Finding the Fourth Proportional to 2,859.42, 4,285.80 and 2,340.30

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Solution

The fourth proportional to 2,859.42, 4,285.80 and 2,340.30 is: 3,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.42 : 4,285.80 = 2,340.30 : x
  2. Step 2: Convert to fraction form
    2,859.42/4,285.80 = 2,340.30/x
  3. Step 3: Cross multiply
    2,859.42x = 4,285.80 × 2,340.30
  4. Step 4: Simplify right side
    2,859.42x = 10,030,057.74
  5. Step 5: Solve for x
    x = 10,030,057.74/2,859.42
  6. Step 6: Final answer
    x = 3,507.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.