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Finding the Fourth Proportional to 2,598.78, 3,586.35 and 1,419.87

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Solution

The fourth proportional to 2,598.78, 3,586.35 and 1,419.87 is: 1,959.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.78 : 3,586.35 = 1,419.87 : x
  2. Step 2: Convert to fraction form
    2,598.78/3,586.35 = 1,419.87/x
  3. Step 3: Cross multiply
    2,598.78x = 3,586.35 × 1,419.87
  4. Step 4: Simplify right side
    2,598.78x = 5,092,150.77
  5. Step 5: Solve for x
    x = 5,092,150.77/2,598.78
  6. Step 6: Final answer
    x = 1,959.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.