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Finding the Fourth Proportional to 2,818.40, 4,231.20 and 1,503.20

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Solution

The fourth proportional to 2,818.40, 4,231.20 and 1,503.20 is: 2,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.40 : 4,231.20 = 1,503.20 : x
  2. Step 2: Convert to fraction form
    2,818.40/4,231.20 = 1,503.20/x
  3. Step 3: Cross multiply
    2,818.40x = 4,231.20 × 1,503.20
  4. Step 4: Simplify right side
    2,818.40x = 6,360,339.84
  5. Step 5: Solve for x
    x = 6,360,339.84/2,818.40
  6. Step 6: Final answer
    x = 2,256.72

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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.