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Finding the Fourth Proportional to 2,298.76, 3,170.86 and 2,004.74

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Solution

The fourth proportional to 2,298.76, 3,170.86 and 2,004.74 is: 2,765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.76 : 3,170.86 = 2,004.74 : x
  2. Step 2: Convert to fraction form
    2,298.76/3,170.86 = 2,004.74/x
  3. Step 3: Cross multiply
    2,298.76x = 3,170.86 × 2,004.74
  4. Step 4: Simplify right side
    2,298.76x = 6,356,749.88
  5. Step 5: Solve for x
    x = 6,356,749.88/2,298.76
  6. Step 6: Final answer
    x = 2,765.30

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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.