Home / 2,823.50-3,896.46-1,564.58

Finding the Fourth Proportional to 2,823.50, 3,896.46 and 1,564.58

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Solution

The fourth proportional to 2,823.50, 3,896.46 and 1,564.58 is: 2,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.50 : 3,896.46 = 1,564.58 : x
  2. Step 2: Convert to fraction form
    2,823.50/3,896.46 = 1,564.58/x
  3. Step 3: Cross multiply
    2,823.50x = 3,896.46 × 1,564.58
  4. Step 4: Simplify right side
    2,823.50x = 6,096,323.39
  5. Step 5: Solve for x
    x = 6,096,323.39/2,823.50
  6. Step 6: Final answer
    x = 2,159.14

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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.