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Finding the Fourth Proportional to 2,598.73, 3,586.14 and 1,419.84

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Solution

The fourth proportional to 2,598.73, 3,586.14 and 1,419.84 is: 1,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.73 : 3,586.14 = 1,419.84 : x
  2. Step 2: Convert to fraction form
    2,598.73/3,586.14 = 1,419.84/x
  3. Step 3: Cross multiply
    2,598.73x = 3,586.14 × 1,419.84
  4. Step 4: Simplify right side
    2,598.73x = 5,091,745.02
  5. Step 5: Solve for x
    x = 5,091,745.02/2,598.73
  6. Step 6: Final answer
    x = 1,959.32

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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.