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Finding the Fourth Proportional to 2,953.60, 4,076.80 and 2,069.64

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Solution

The fourth proportional to 2,953.60, 4,076.80 and 2,069.64 is: 2,856.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.60 : 4,076.80 = 2,069.64 : x
  2. Step 2: Convert to fraction form
    2,953.60/4,076.80 = 2,069.64/x
  3. Step 3: Cross multiply
    2,953.60x = 4,076.80 × 2,069.64
  4. Step 4: Simplify right side
    2,953.60x = 8,437,508.35
  5. Step 5: Solve for x
    x = 8,437,508.35/2,953.60
  6. Step 6: Final answer
    x = 2,856.69

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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.