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Finding the Fourth Proportional to 2,061.74, 2,844.78 and 1,177.40

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Solution

The fourth proportional to 2,061.74, 2,844.78 and 1,177.40 is: 1,624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.74 : 2,844.78 = 1,177.40 : x
  2. Step 2: Convert to fraction form
    2,061.74/2,844.78 = 1,177.40/x
  3. Step 3: Cross multiply
    2,061.74x = 2,844.78 × 1,177.40
  4. Step 4: Simplify right side
    2,061.74x = 3,349,443.97
  5. Step 5: Solve for x
    x = 3,349,443.97/2,061.74
  6. Step 6: Final answer
    x = 1,624.57

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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.