Home / 2,558.52-3,531.84-1,564.17

Finding the Fourth Proportional to 2,558.52, 3,531.84 and 1,564.17

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Solution

The fourth proportional to 2,558.52, 3,531.84 and 1,564.17 is: 2,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.52 : 3,531.84 = 1,564.17 : x
  2. Step 2: Convert to fraction form
    2,558.52/3,531.84 = 1,564.17/x
  3. Step 3: Cross multiply
    2,558.52x = 3,531.84 × 1,564.17
  4. Step 4: Simplify right side
    2,558.52x = 5,524,398.17
  5. Step 5: Solve for x
    x = 5,524,398.17/2,558.52
  6. Step 6: Final answer
    x = 2,159.22

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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.