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Finding the Fourth Proportional to 2,278.37, 3,418.10 and 718.45

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Solution

The fourth proportional to 2,278.37, 3,418.10 and 718.45 is: 1,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.37 : 3,418.10 = 718.45 : x
  2. Step 2: Convert to fraction form
    2,278.37/3,418.10 = 718.45/x
  3. Step 3: Cross multiply
    2,278.37x = 3,418.10 × 718.45
  4. Step 4: Simplify right side
    2,278.37x = 2,455,733.95
  5. Step 5: Solve for x
    x = 2,455,733.95/2,278.37
  6. Step 6: Final answer
    x = 1,077.85

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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.