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Finding the Fourth Proportional to 2,473.80, 3,710.81 and 1,377.34

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Solution

The fourth proportional to 2,473.80, 3,710.81 and 1,377.34 is: 2,066.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.80 : 3,710.81 = 1,377.34 : x
  2. Step 2: Convert to fraction form
    2,473.80/3,710.81 = 1,377.34/x
  3. Step 3: Cross multiply
    2,473.80x = 3,710.81 × 1,377.34
  4. Step 4: Simplify right side
    2,473.80x = 5,111,047.05
  5. Step 5: Solve for x
    x = 5,111,047.05/2,473.80
  6. Step 6: Final answer
    x = 2,066.07

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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.