Home / 2,823.48-3,896.40-1,564.44

Finding the Fourth Proportional to 2,823.48, 3,896.40 and 1,564.44

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Solution

The fourth proportional to 2,823.48, 3,896.40 and 1,564.44 is: 2,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.48 : 3,896.40 = 1,564.44 : x
  2. Step 2: Convert to fraction form
    2,823.48/3,896.40 = 1,564.44/x
  3. Step 3: Cross multiply
    2,823.48x = 3,896.40 × 1,564.44
  4. Step 4: Simplify right side
    2,823.48x = 6,095,684.02
  5. Step 5: Solve for x
    x = 6,095,684.02/2,823.48
  6. Step 6: Final answer
    x = 2,158.93

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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.