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Finding the Fourth Proportional to 2,897.86, 3,998 and 2,618.50

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Solution

The fourth proportional to 2,897.86, 3,998 and 2,618.50 is: 3,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.86 : 3,998 = 2,618.50 : x
  2. Step 2: Convert to fraction form
    2,897.86/3,998 = 2,618.50/x
  3. Step 3: Cross multiply
    2,897.86x = 3,998 × 2,618.50
  4. Step 4: Simplify right side
    2,897.86x = 10,468,763
  5. Step 5: Solve for x
    x = 10,468,763/2,897.86
  6. Step 6: Final answer
    x = 3,612.58

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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.