Home / 1,943.34-2,681.85-1,157.23

Finding the Fourth Proportional to 1,943.34, 2,681.85 and 1,157.23

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Solution

The fourth proportional to 1,943.34, 2,681.85 and 1,157.23 is: 1,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.34 : 2,681.85 = 1,157.23 : x
  2. Step 2: Convert to fraction form
    1,943.34/2,681.85 = 1,157.23/x
  3. Step 3: Cross multiply
    1,943.34x = 2,681.85 × 1,157.23
  4. Step 4: Simplify right side
    1,943.34x = 3,103,517.28
  5. Step 5: Solve for x
    x = 3,103,517.28/1,943.34
  6. Step 6: Final answer
    x = 1,597.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.