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Finding the Fourth Proportional to 1,881.09, 2,816.42 and 1,417.47

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Solution

The fourth proportional to 1,881.09, 2,816.42 and 1,417.47 is: 2,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.09 : 2,816.42 = 1,417.47 : x
  2. Step 2: Convert to fraction form
    1,881.09/2,816.42 = 1,417.47/x
  3. Step 3: Cross multiply
    1,881.09x = 2,816.42 × 1,417.47
  4. Step 4: Simplify right side
    1,881.09x = 3,992,181.18
  5. Step 5: Solve for x
    x = 3,992,181.18/1,881.09
  6. Step 6: Final answer
    x = 2,122.27

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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.