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Finding the Fourth Proportional to 1,979.51, 2,967.45 and 747.74

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Solution

The fourth proportional to 1,979.51, 2,967.45 and 747.74 is: 1,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.51 : 2,967.45 = 747.74 : x
  2. Step 2: Convert to fraction form
    1,979.51/2,967.45 = 747.74/x
  3. Step 3: Cross multiply
    1,979.51x = 2,967.45 × 747.74
  4. Step 4: Simplify right side
    1,979.51x = 2,218,881.06
  5. Step 5: Solve for x
    x = 2,218,881.06/1,979.51
  6. Step 6: Final answer
    x = 1,120.92

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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.