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Finding the Fourth Proportional to 3,001.86, 4,142.34 and 1,822.77

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Solution

The fourth proportional to 3,001.86, 4,142.34 and 1,822.77 is: 2,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.86 : 4,142.34 = 1,822.77 : x
  2. Step 2: Convert to fraction form
    3,001.86/4,142.34 = 1,822.77/x
  3. Step 3: Cross multiply
    3,001.86x = 4,142.34 × 1,822.77
  4. Step 4: Simplify right side
    3,001.86x = 7,550,533.08
  5. Step 5: Solve for x
    x = 7,550,533.08/3,001.86
  6. Step 6: Final answer
    x = 2,515.28

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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.