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Finding the Fourth Proportional to 1,958.29, 2,937.27 and 918.02

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Solution

The fourth proportional to 1,958.29, 2,937.27 and 918.02 is: 1,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.29 : 2,937.27 = 918.02 : x
  2. Step 2: Convert to fraction form
    1,958.29/2,937.27 = 918.02/x
  3. Step 3: Cross multiply
    1,958.29x = 2,937.27 × 918.02
  4. Step 4: Simplify right side
    1,958.29x = 2,696,483.39
  5. Step 5: Solve for x
    x = 2,696,483.39/1,958.29
  6. Step 6: Final answer
    x = 1,376.96

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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.