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Finding the Fourth Proportional to 2,172.78, 3,001.01 and 1,585.94

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Solution

The fourth proportional to 2,172.78, 3,001.01 and 1,585.94 is: 2,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.78 : 3,001.01 = 1,585.94 : x
  2. Step 2: Convert to fraction form
    2,172.78/3,001.01 = 1,585.94/x
  3. Step 3: Cross multiply
    2,172.78x = 3,001.01 × 1,585.94
  4. Step 4: Simplify right side
    2,172.78x = 4,759,398.86
  5. Step 5: Solve for x
    x = 4,759,398.86/2,172.78
  6. Step 6: Final answer
    x = 2,190.47

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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.