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Finding the Fourth Proportional to 2,599.98, 3,587.91 and 1,421.05

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Solution

The fourth proportional to 2,599.98, 3,587.91 and 1,421.05 is: 1,961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.98 : 3,587.91 = 1,421.05 : x
  2. Step 2: Convert to fraction form
    2,599.98/3,587.91 = 1,421.05/x
  3. Step 3: Cross multiply
    2,599.98x = 3,587.91 × 1,421.05
  4. Step 4: Simplify right side
    2,599.98x = 5,098,614.74
  5. Step 5: Solve for x
    x = 5,098,614.74/2,599.98
  6. Step 6: Final answer
    x = 1,961.02

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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.