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Finding the Fourth Proportional to 2,563.95, 3,845.95 and 1,004.13

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Solution

The fourth proportional to 2,563.95, 3,845.95 and 1,004.13 is: 1,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.95 : 3,845.95 = 1,004.13 : x
  2. Step 2: Convert to fraction form
    2,563.95/3,845.95 = 1,004.13/x
  3. Step 3: Cross multiply
    2,563.95x = 3,845.95 × 1,004.13
  4. Step 4: Simplify right side
    2,563.95x = 3,861,831.26
  5. Step 5: Solve for x
    x = 3,861,831.26/2,563.95
  6. Step 6: Final answer
    x = 1,506.20

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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.