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Finding the Fourth Proportional to 2,598.72, 3,586.31 and 1,419.81

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Solution

The fourth proportional to 2,598.72, 3,586.31 and 1,419.81 is: 1,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.72 : 3,586.31 = 1,419.81 : x
  2. Step 2: Convert to fraction form
    2,598.72/3,586.31 = 1,419.81/x
  3. Step 3: Cross multiply
    2,598.72x = 3,586.31 × 1,419.81
  4. Step 4: Simplify right side
    2,598.72x = 5,091,878.80
  5. Step 5: Solve for x
    x = 5,091,878.80/2,598.72
  6. Step 6: Final answer
    x = 1,959.38

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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.