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Finding the Fourth Proportional to 2,648.60, 3,971.63 and 981.59

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Solution

The fourth proportional to 2,648.60, 3,971.63 and 981.59 is: 1,471.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.60 : 3,971.63 = 981.59 : x
  2. Step 2: Convert to fraction form
    2,648.60/3,971.63 = 981.59/x
  3. Step 3: Cross multiply
    2,648.60x = 3,971.63 × 981.59
  4. Step 4: Simplify right side
    2,648.60x = 3,898,494.89
  5. Step 5: Solve for x
    x = 3,898,494.89/2,648.60
  6. Step 6: Final answer
    x = 1,471.91

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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.