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Finding the Fourth Proportional to 2,148.10, 2,965.24 and 1,818.22

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Solution

The fourth proportional to 2,148.10, 2,965.24 and 1,818.22 is: 2,509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.10 : 2,965.24 = 1,818.22 : x
  2. Step 2: Convert to fraction form
    2,148.10/2,965.24 = 1,818.22/x
  3. Step 3: Cross multiply
    2,148.10x = 2,965.24 × 1,818.22
  4. Step 4: Simplify right side
    2,148.10x = 5,391,458.67
  5. Step 5: Solve for x
    x = 5,391,458.67/2,148.10
  6. Step 6: Final answer
    x = 2,509.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.