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Finding the Fourth Proportional to 2,971.51, 4,456.89 and 780.41

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Solution

The fourth proportional to 2,971.51, 4,456.89 and 780.41 is: 1,170.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.51 : 4,456.89 = 780.41 : x
  2. Step 2: Convert to fraction form
    2,971.51/4,456.89 = 780.41/x
  3. Step 3: Cross multiply
    2,971.51x = 4,456.89 × 780.41
  4. Step 4: Simplify right side
    2,971.51x = 3,478,201.52
  5. Step 5: Solve for x
    x = 3,478,201.52/2,971.51
  6. Step 6: Final answer
    x = 1,170.52

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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.