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Finding the Fourth Proportional to 1,818, 2,509.68 and 1,119.78

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Solution

The fourth proportional to 1,818, 2,509.68 and 1,119.78 is: 1,545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818 : 2,509.68 = 1,119.78 : x
  2. Step 2: Convert to fraction form
    1,818/2,509.68 = 1,119.78/x
  3. Step 3: Cross multiply
    1,818x = 2,509.68 × 1,119.78
  4. Step 4: Simplify right side
    1,818x = 2,810,289.47
  5. Step 5: Solve for x
    x = 2,810,289.47/1,818
  6. Step 6: Final answer
    x = 1,545.81

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Why These Related Problems?

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