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Finding the Fourth Proportional to 2,599.48, 3,897.06 and 1,212.09

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Solution

The fourth proportional to 2,599.48, 3,897.06 and 1,212.09 is: 1,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.48 : 3,897.06 = 1,212.09 : x
  2. Step 2: Convert to fraction form
    2,599.48/3,897.06 = 1,212.09/x
  3. Step 3: Cross multiply
    2,599.48x = 3,897.06 × 1,212.09
  4. Step 4: Simplify right side
    2,599.48x = 4,723,587.46
  5. Step 5: Solve for x
    x = 4,723,587.46/2,599.48
  6. Step 6: Final answer
    x = 1,817.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.