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Finding the Fourth Proportional to 2,900.12, 4,344.42 and 1,871

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Solution

The fourth proportional to 2,900.12, 4,344.42 and 1,871 is: 2,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.12 : 4,344.42 = 1,871 : x
  2. Step 2: Convert to fraction form
    2,900.12/4,344.42 = 1,871/x
  3. Step 3: Cross multiply
    2,900.12x = 4,344.42 × 1,871
  4. Step 4: Simplify right side
    2,900.12x = 8,128,409.82
  5. Step 5: Solve for x
    x = 8,128,409.82/2,900.12
  6. Step 6: Final answer
    x = 2,802.78

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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.