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Finding the Fourth Proportional to 2,663.58, 3,672.95 and 1,765.98

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Solution

The fourth proportional to 2,663.58, 3,672.95 and 1,765.98 is: 2,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.58 : 3,672.95 = 1,765.98 : x
  2. Step 2: Convert to fraction form
    2,663.58/3,672.95 = 1,765.98/x
  3. Step 3: Cross multiply
    2,663.58x = 3,672.95 × 1,765.98
  4. Step 4: Simplify right side
    2,663.58x = 6,486,356.24
  5. Step 5: Solve for x
    x = 6,486,356.24/2,663.58
  6. Step 6: Final answer
    x = 2,435.20

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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.