Home / 1,943.46-2,681.98-1,157.53

Finding the Fourth Proportional to 1,943.46, 2,681.98 and 1,157.53

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Solution

The fourth proportional to 1,943.46, 2,681.98 and 1,157.53 is: 1,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.46 : 2,681.98 = 1,157.53 : x
  2. Step 2: Convert to fraction form
    1,943.46/2,681.98 = 1,157.53/x
  3. Step 3: Cross multiply
    1,943.46x = 2,681.98 × 1,157.53
  4. Step 4: Simplify right side
    1,943.46x = 3,104,472.31
  5. Step 5: Solve for x
    x = 3,104,472.31/1,943.46
  6. Step 6: Final answer
    x = 1,597.39

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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.