Home / 1,856.84-2,563.62-1,159.24

Finding the Fourth Proportional to 1,856.84, 2,563.62 and 1,159.24

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Solution

The fourth proportional to 1,856.84, 2,563.62 and 1,159.24 is: 1,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.84 : 2,563.62 = 1,159.24 : x
  2. Step 2: Convert to fraction form
    1,856.84/2,563.62 = 1,159.24/x
  3. Step 3: Cross multiply
    1,856.84x = 2,563.62 × 1,159.24
  4. Step 4: Simplify right side
    1,856.84x = 2,971,850.85
  5. Step 5: Solve for x
    x = 2,971,850.85/1,856.84
  6. Step 6: Final answer
    x = 1,600.49

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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.