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Finding the Fourth Proportional to 2,377.56, 3,566.16 and 734.52

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Solution

The fourth proportional to 2,377.56, 3,566.16 and 734.52 is: 1,101.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.56 : 3,566.16 = 734.52 : x
  2. Step 2: Convert to fraction form
    2,377.56/3,566.16 = 734.52/x
  3. Step 3: Cross multiply
    2,377.56x = 3,566.16 × 734.52
  4. Step 4: Simplify right side
    2,377.56x = 2,619,415.84
  5. Step 5: Solve for x
    x = 2,619,415.84/2,377.56
  6. Step 6: Final answer
    x = 1,101.72

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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.