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Finding the Fourth Proportional to 2,178.52, 3,267.80 and 1,135.96

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Solution

The fourth proportional to 2,178.52, 3,267.80 and 1,135.96 is: 1,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.52 : 3,267.80 = 1,135.96 : x
  2. Step 2: Convert to fraction form
    2,178.52/3,267.80 = 1,135.96/x
  3. Step 3: Cross multiply
    2,178.52x = 3,267.80 × 1,135.96
  4. Step 4: Simplify right side
    2,178.52x = 3,712,090.09
  5. Step 5: Solve for x
    x = 3,712,090.09/2,178.52
  6. Step 6: Final answer
    x = 1,703.95

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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.