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Finding the Fourth Proportional to 1,982.60, 2,955.91 and 1,931.32

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Solution

The fourth proportional to 1,982.60, 2,955.91 and 1,931.32 is: 2,879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.60 : 2,955.91 = 1,931.32 : x
  2. Step 2: Convert to fraction form
    1,982.60/2,955.91 = 1,931.32/x
  3. Step 3: Cross multiply
    1,982.60x = 2,955.91 × 1,931.32
  4. Step 4: Simplify right side
    1,982.60x = 5,708,808.10
  5. Step 5: Solve for x
    x = 5,708,808.10/1,982.60
  6. Step 6: Final answer
    x = 2,879.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.