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Finding the Fourth Proportional to 2,872.58, 4,298.34 and 2,351.30

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Solution

The fourth proportional to 2,872.58, 4,298.34 and 2,351.30 is: 3,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.58 : 4,298.34 = 2,351.30 : x
  2. Step 2: Convert to fraction form
    2,872.58/4,298.34 = 2,351.30/x
  3. Step 3: Cross multiply
    2,872.58x = 4,298.34 × 2,351.30
  4. Step 4: Simplify right side
    2,872.58x = 10,106,686.84
  5. Step 5: Solve for x
    x = 10,106,686.84/2,872.58
  6. Step 6: Final answer
    x = 3,518.33

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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.