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Finding the Fourth Proportional to 2,598.81, 3,586.32 and 1,419.89

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Solution

The fourth proportional to 2,598.81, 3,586.32 and 1,419.89 is: 1,959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.81 : 3,586.32 = 1,419.89 : x
  2. Step 2: Convert to fraction form
    2,598.81/3,586.32 = 1,419.89/x
  3. Step 3: Cross multiply
    2,598.81x = 3,586.32 × 1,419.89
  4. Step 4: Simplify right side
    2,598.81x = 5,092,161.97
  5. Step 5: Solve for x
    x = 5,092,161.97/2,598.81
  6. Step 6: Final answer
    x = 1,959.42

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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.