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Finding the Fourth Proportional to 2,769.66, 4,151.25 and 1,124.01

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Solution

The fourth proportional to 2,769.66, 4,151.25 and 1,124.01 is: 1,684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.66 : 4,151.25 = 1,124.01 : x
  2. Step 2: Convert to fraction form
    2,769.66/4,151.25 = 1,124.01/x
  3. Step 3: Cross multiply
    2,769.66x = 4,151.25 × 1,124.01
  4. Step 4: Simplify right side
    2,769.66x = 4,666,046.51
  5. Step 5: Solve for x
    x = 4,666,046.51/2,769.66
  6. Step 6: Final answer
    x = 1,684.70

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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.