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Finding the Fourth Proportional to 2,074.64, 3,111.78 and 979.28

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Solution

The fourth proportional to 2,074.64, 3,111.78 and 979.28 is: 1,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.64 : 3,111.78 = 979.28 : x
  2. Step 2: Convert to fraction form
    2,074.64/3,111.78 = 979.28/x
  3. Step 3: Cross multiply
    2,074.64x = 3,111.78 × 979.28
  4. Step 4: Simplify right side
    2,074.64x = 3,047,303.92
  5. Step 5: Solve for x
    x = 3,047,303.92/2,074.64
  6. Step 6: Final answer
    x = 1,468.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.