Home / 2,564.36-3,848.22-1,410.92

Finding the Fourth Proportional to 2,564.36, 3,848.22 and 1,410.92

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Solution

The fourth proportional to 2,564.36, 3,848.22 and 1,410.92 is: 2,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.36 : 3,848.22 = 1,410.92 : x
  2. Step 2: Convert to fraction form
    2,564.36/3,848.22 = 1,410.92/x
  3. Step 3: Cross multiply
    2,564.36x = 3,848.22 × 1,410.92
  4. Step 4: Simplify right side
    2,564.36x = 5,429,530.56
  5. Step 5: Solve for x
    x = 5,429,530.56/2,564.36
  6. Step 6: Final answer
    x = 2,117.30

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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.