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Finding the Fourth Proportional to 2,475.80, 3,705.51 and 2,065.76

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Solution

The fourth proportional to 2,475.80, 3,705.51 and 2,065.76 is: 3,091.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.80 : 3,705.51 = 2,065.76 : x
  2. Step 2: Convert to fraction form
    2,475.80/3,705.51 = 2,065.76/x
  3. Step 3: Cross multiply
    2,475.80x = 3,705.51 × 2,065.76
  4. Step 4: Simplify right side
    2,475.80x = 7,654,694.34
  5. Step 5: Solve for x
    x = 7,654,694.34/2,475.80
  6. Step 6: Final answer
    x = 3,091.81

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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.