Home / 2,496.24-3,742.10-1,569

Finding the Fourth Proportional to 2,496.24, 3,742.10 and 1,569

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Solution

The fourth proportional to 2,496.24, 3,742.10 and 1,569 is: 2,352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.24 : 3,742.10 = 1,569 : x
  2. Step 2: Convert to fraction form
    2,496.24/3,742.10 = 1,569/x
  3. Step 3: Cross multiply
    2,496.24x = 3,742.10 × 1,569
  4. Step 4: Simplify right side
    2,496.24x = 5,871,354.90
  5. Step 5: Solve for x
    x = 5,871,354.90/2,496.24
  6. Step 6: Final answer
    x = 2,352.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.