Home / 1,589.04-2,191.73-1,564.74

Finding the Fourth Proportional to 1,589.04, 2,191.73 and 1,564.74

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Solution

The fourth proportional to 1,589.04, 2,191.73 and 1,564.74 is: 2,158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.04 : 2,191.73 = 1,564.74 : x
  2. Step 2: Convert to fraction form
    1,589.04/2,191.73 = 1,564.74/x
  3. Step 3: Cross multiply
    1,589.04x = 2,191.73 × 1,564.74
  4. Step 4: Simplify right side
    1,589.04x = 3,429,479.78
  5. Step 5: Solve for x
    x = 3,429,479.78/1,589.04
  6. Step 6: Final answer
    x = 2,158.21

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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.