Home / 1,862.83-2,564.26-1,610.64

Finding the Fourth Proportional to 1,862.83, 2,564.26 and 1,610.64

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Solution

The fourth proportional to 1,862.83, 2,564.26 and 1,610.64 is: 2,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.83 : 2,564.26 = 1,610.64 : x
  2. Step 2: Convert to fraction form
    1,862.83/2,564.26 = 1,610.64/x
  3. Step 3: Cross multiply
    1,862.83x = 2,564.26 × 1,610.64
  4. Step 4: Simplify right side
    1,862.83x = 4,130,099.73
  5. Step 5: Solve for x
    x = 4,130,099.73/1,862.83
  6. Step 6: Final answer
    x = 2,217.11

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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.