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Finding the Fourth Proportional to 1,972.77, 2,958.64 and 585.74

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Solution

The fourth proportional to 1,972.77, 2,958.64 and 585.74 is: 878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.77 : 2,958.64 = 585.74 : x
  2. Step 2: Convert to fraction form
    1,972.77/2,958.64 = 585.74/x
  3. Step 3: Cross multiply
    1,972.77x = 2,958.64 × 585.74
  4. Step 4: Simplify right side
    1,972.77x = 1,732,977.54
  5. Step 5: Solve for x
    x = 1,732,977.54/1,972.77
  6. Step 6: Final answer
    x = 878.45

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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.