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Finding the Fourth Proportional to 2,820.50, 3,870.08 and 2,663.76

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Solution

The fourth proportional to 2,820.50, 3,870.08 and 2,663.76 is: 3,655.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.50 : 3,870.08 = 2,663.76 : x
  2. Step 2: Convert to fraction form
    2,820.50/3,870.08 = 2,663.76/x
  3. Step 3: Cross multiply
    2,820.50x = 3,870.08 × 2,663.76
  4. Step 4: Simplify right side
    2,820.50x = 10,308,964.30
  5. Step 5: Solve for x
    x = 10,308,964.30/2,820.50
  6. Step 6: Final answer
    x = 3,655.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.