Home / 2,102.52-3,153.77-1,178.08

Finding the Fourth Proportional to 2,102.52, 3,153.77 and 1,178.08

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Solution

The fourth proportional to 2,102.52, 3,153.77 and 1,178.08 is: 1,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.52 : 3,153.77 = 1,178.08 : x
  2. Step 2: Convert to fraction form
    2,102.52/3,153.77 = 1,178.08/x
  3. Step 3: Cross multiply
    2,102.52x = 3,153.77 × 1,178.08
  4. Step 4: Simplify right side
    2,102.52x = 3,715,393.36
  5. Step 5: Solve for x
    x = 3,715,393.36/2,102.52
  6. Step 6: Final answer
    x = 1,767.11

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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.