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Finding the Fourth Proportional to 1,971.87, 2,958.24 and 585.32

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Solution

The fourth proportional to 1,971.87, 2,958.24 and 585.32 is: 878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.87 : 2,958.24 = 585.32 : x
  2. Step 2: Convert to fraction form
    1,971.87/2,958.24 = 585.32/x
  3. Step 3: Cross multiply
    1,971.87x = 2,958.24 × 585.32
  4. Step 4: Simplify right side
    1,971.87x = 1,731,502.25
  5. Step 5: Solve for x
    x = 1,731,502.25/1,971.87
  6. Step 6: Final answer
    x = 878.10

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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.