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Finding the Fourth Proportional to 1,871.16, 2,809.98 and 1,294.44

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Solution

The fourth proportional to 1,871.16, 2,809.98 and 1,294.44 is: 1,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.16 : 2,809.98 = 1,294.44 : x
  2. Step 2: Convert to fraction form
    1,871.16/2,809.98 = 1,294.44/x
  3. Step 3: Cross multiply
    1,871.16x = 2,809.98 × 1,294.44
  4. Step 4: Simplify right side
    1,871.16x = 3,637,350.51
  5. Step 5: Solve for x
    x = 3,637,350.51/1,871.16
  6. Step 6: Final answer
    x = 1,943.90

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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.