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Finding the Fourth Proportional to 2,061.36, 2,844.95 and 1,177.34

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Solution

The fourth proportional to 2,061.36, 2,844.95 and 1,177.34 is: 1,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.36 : 2,844.95 = 1,177.34 : x
  2. Step 2: Convert to fraction form
    2,061.36/2,844.95 = 1,177.34/x
  3. Step 3: Cross multiply
    2,061.36x = 2,844.95 × 1,177.34
  4. Step 4: Simplify right side
    2,061.36x = 3,349,473.43
  5. Step 5: Solve for x
    x = 3,349,473.43/2,061.36
  6. Step 6: Final answer
    x = 1,624.89

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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.