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Finding the Fourth Proportional to 2,016.96, 3,026.40 and 975.84

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Solution

The fourth proportional to 2,016.96, 3,026.40 and 975.84 is: 1,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.96 : 3,026.40 = 975.84 : x
  2. Step 2: Convert to fraction form
    2,016.96/3,026.40 = 975.84/x
  3. Step 3: Cross multiply
    2,016.96x = 3,026.40 × 975.84
  4. Step 4: Simplify right side
    2,016.96x = 2,953,282.18
  5. Step 5: Solve for x
    x = 2,953,282.18/2,016.96
  6. Step 6: Final answer
    x = 1,464.22

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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.