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Finding the Fourth Proportional to 2,478.03, 3,417.72 and 2,194.74

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Solution

The fourth proportional to 2,478.03, 3,417.72 and 2,194.74 is: 3,027.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.03 : 3,417.72 = 2,194.74 : x
  2. Step 2: Convert to fraction form
    2,478.03/3,417.72 = 2,194.74/x
  3. Step 3: Cross multiply
    2,478.03x = 3,417.72 × 2,194.74
  4. Step 4: Simplify right side
    2,478.03x = 7,500,995.82
  5. Step 5: Solve for x
    x = 7,500,995.82/2,478.03
  6. Step 6: Final answer
    x = 3,027.01

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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.