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Finding the Fourth Proportional to 2,599.54, 3,587.34 and 1,420.61

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Solution

The fourth proportional to 2,599.54, 3,587.34 and 1,420.61 is: 1,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.54 : 3,587.34 = 1,420.61 : x
  2. Step 2: Convert to fraction form
    2,599.54/3,587.34 = 1,420.61/x
  3. Step 3: Cross multiply
    2,599.54x = 3,587.34 × 1,420.61
  4. Step 4: Simplify right side
    2,599.54x = 5,096,193.14
  5. Step 5: Solve for x
    x = 5,096,193.14/2,599.54
  6. Step 6: Final answer
    x = 1,960.42

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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.