Home / 1,597.23-2,206.14-1,154.43

Finding the Fourth Proportional to 1,597.23, 2,206.14 and 1,154.43

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Solution

The fourth proportional to 1,597.23, 2,206.14 and 1,154.43 is: 1,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.23 : 2,206.14 = 1,154.43 : x
  2. Step 2: Convert to fraction form
    1,597.23/2,206.14 = 1,154.43/x
  3. Step 3: Cross multiply
    1,597.23x = 2,206.14 × 1,154.43
  4. Step 4: Simplify right side
    1,597.23x = 2,546,834.20
  5. Step 5: Solve for x
    x = 2,546,834.20/1,597.23
  6. Step 6: Final answer
    x = 1,594.53

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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.