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Finding the Fourth Proportional to 2,894.76, 3,994.34 and 1,635.48

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Solution

The fourth proportional to 2,894.76, 3,994.34 and 1,635.48 is: 2,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.76 : 3,994.34 = 1,635.48 : x
  2. Step 2: Convert to fraction form
    2,894.76/3,994.34 = 1,635.48/x
  3. Step 3: Cross multiply
    2,894.76x = 3,994.34 × 1,635.48
  4. Step 4: Simplify right side
    2,894.76x = 6,532,663.18
  5. Step 5: Solve for x
    x = 6,532,663.18/2,894.76
  6. Step 6: Final answer
    x = 2,256.72

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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.