Home / 1,574.06-2,361.18-844.16

Finding the Fourth Proportional to 1,574.06, 2,361.18 and 844.16

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Solution

The fourth proportional to 1,574.06, 2,361.18 and 844.16 is: 1,266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.06 : 2,361.18 = 844.16 : x
  2. Step 2: Convert to fraction form
    1,574.06/2,361.18 = 844.16/x
  3. Step 3: Cross multiply
    1,574.06x = 2,361.18 × 844.16
  4. Step 4: Simplify right side
    1,574.06x = 1,993,213.71
  5. Step 5: Solve for x
    x = 1,993,213.71/1,574.06
  6. Step 6: Final answer
    x = 1,266.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.