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Finding the Fourth Proportional to 2,823.04, 4,234.40 and 875.20

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Solution

The fourth proportional to 2,823.04, 4,234.40 and 875.20 is: 1,312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.04 : 4,234.40 = 875.20 : x
  2. Step 2: Convert to fraction form
    2,823.04/4,234.40 = 875.20/x
  3. Step 3: Cross multiply
    2,823.04x = 4,234.40 × 875.20
  4. Step 4: Simplify right side
    2,823.04x = 3,705,946.88
  5. Step 5: Solve for x
    x = 3,705,946.88/2,823.04
  6. Step 6: Final answer
    x = 1,312.75

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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.