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Finding the Fourth Proportional to 1,818.75, 2,509.69 and 1,221.12

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Solution

The fourth proportional to 1,818.75, 2,509.69 and 1,221.12 is: 1,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.75 : 2,509.69 = 1,221.12 : x
  2. Step 2: Convert to fraction form
    1,818.75/2,509.69 = 1,221.12/x
  3. Step 3: Cross multiply
    1,818.75x = 2,509.69 × 1,221.12
  4. Step 4: Simplify right side
    1,818.75x = 3,064,626.55
  5. Step 5: Solve for x
    x = 3,064,626.55/1,818.75
  6. Step 6: Final answer
    x = 1,685.02

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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.