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Finding the Fourth Proportional to 2,477.78, 3,417.37 and 2,194.49

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Solution

The fourth proportional to 2,477.78, 3,417.37 and 2,194.49 is: 3,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.78 : 3,417.37 = 2,194.49 : x
  2. Step 2: Convert to fraction form
    2,477.78/3,417.37 = 2,194.49/x
  3. Step 3: Cross multiply
    2,477.78x = 3,417.37 × 2,194.49
  4. Step 4: Simplify right side
    2,477.78x = 7,499,382.76
  5. Step 5: Solve for x
    x = 7,499,382.76/2,477.78
  6. Step 6: Final answer
    x = 3,026.66

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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.