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Finding the Fourth Proportional to 2,599.94, 3,588 and 1,421.04

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Solution

The fourth proportional to 2,599.94, 3,588 and 1,421.04 is: 1,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.94 : 3,588 = 1,421.04 : x
  2. Step 2: Convert to fraction form
    2,599.94/3,588 = 1,421.04/x
  3. Step 3: Cross multiply
    2,599.94x = 3,588 × 1,421.04
  4. Step 4: Simplify right side
    2,599.94x = 5,098,691.52
  5. Step 5: Solve for x
    x = 5,098,691.52/2,599.94
  6. Step 6: Final answer
    x = 1,961.08

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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.