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Finding the Fourth Proportional to 2,823.68, 4,236.24 and 875.90

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Solution

The fourth proportional to 2,823.68, 4,236.24 and 875.90 is: 1,314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.68 : 4,236.24 = 875.90 : x
  2. Step 2: Convert to fraction form
    2,823.68/4,236.24 = 875.90/x
  3. Step 3: Cross multiply
    2,823.68x = 4,236.24 × 875.90
  4. Step 4: Simplify right side
    2,823.68x = 3,710,522.62
  5. Step 5: Solve for x
    x = 3,710,522.62/2,823.68
  6. Step 6: Final answer
    x = 1,314.07

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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.