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Finding the Fourth Proportional to 1,866.15, 2,798.16 and 769.22

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Solution

The fourth proportional to 1,866.15, 2,798.16 and 769.22 is: 1,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.15 : 2,798.16 = 769.22 : x
  2. Step 2: Convert to fraction form
    1,866.15/2,798.16 = 769.22/x
  3. Step 3: Cross multiply
    1,866.15x = 2,798.16 × 769.22
  4. Step 4: Simplify right side
    1,866.15x = 2,152,386.64
  5. Step 5: Solve for x
    x = 2,152,386.64/1,866.15
  6. Step 6: Final answer
    x = 1,153.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.