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Finding the Fourth Proportional to 2,403, 3,598.02 and 1,361.48

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Solution

The fourth proportional to 2,403, 3,598.02 and 1,361.48 is: 2,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403 : 3,598.02 = 1,361.48 : x
  2. Step 2: Convert to fraction form
    2,403/3,598.02 = 1,361.48/x
  3. Step 3: Cross multiply
    2,403x = 3,598.02 × 1,361.48
  4. Step 4: Simplify right side
    2,403x = 4,898,614.28
  5. Step 5: Solve for x
    x = 4,898,614.28/2,403
  6. Step 6: Final answer
    x = 2,038.54

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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.