Home / 2,564.13-3,846.41-1,004.02

Finding the Fourth Proportional to 2,564.13, 3,846.41 and 1,004.02

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Solution

The fourth proportional to 2,564.13, 3,846.41 and 1,004.02 is: 1,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.13 : 3,846.41 = 1,004.02 : x
  2. Step 2: Convert to fraction form
    2,564.13/3,846.41 = 1,004.02/x
  3. Step 3: Cross multiply
    2,564.13x = 3,846.41 × 1,004.02
  4. Step 4: Simplify right side
    2,564.13x = 3,861,875.34
  5. Step 5: Solve for x
    x = 3,861,875.34/2,564.13
  6. Step 6: Final answer
    x = 1,506.11

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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.