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Finding the Fourth Proportional to 3,156.05, 4,355.62 and 1,897.31

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Solution

The fourth proportional to 3,156.05, 4,355.62 and 1,897.31 is: 2,618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.05 : 4,355.62 = 1,897.31 : x
  2. Step 2: Convert to fraction form
    3,156.05/4,355.62 = 1,897.31/x
  3. Step 3: Cross multiply
    3,156.05x = 4,355.62 × 1,897.31
  4. Step 4: Simplify right side
    3,156.05x = 8,263,934.86
  5. Step 5: Solve for x
    x = 8,263,934.86/3,156.05
  6. Step 6: Final answer
    x = 2,618.45

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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.