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Finding the Fourth Proportional to 2,598.29, 3,890.50 and 1,363.12

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Solution

The fourth proportional to 2,598.29, 3,890.50 and 1,363.12 is: 2,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.29 : 3,890.50 = 1,363.12 : x
  2. Step 2: Convert to fraction form
    2,598.29/3,890.50 = 1,363.12/x
  3. Step 3: Cross multiply
    2,598.29x = 3,890.50 × 1,363.12
  4. Step 4: Simplify right side
    2,598.29x = 5,303,218.36
  5. Step 5: Solve for x
    x = 5,303,218.36/2,598.29
  6. Step 6: Final answer
    x = 2,041.04

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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.