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Finding the Fourth Proportional to 2,818.64, 4,225.12 and 1,357

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Solution

The fourth proportional to 2,818.64, 4,225.12 and 1,357 is: 2,034.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.64 : 4,225.12 = 1,357 : x
  2. Step 2: Convert to fraction form
    2,818.64/4,225.12 = 1,357/x
  3. Step 3: Cross multiply
    2,818.64x = 4,225.12 × 1,357
  4. Step 4: Simplify right side
    2,818.64x = 5,733,487.84
  5. Step 5: Solve for x
    x = 5,733,487.84/2,818.64
  6. Step 6: Final answer
    x = 2,034.13

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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.