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Finding the Fourth Proportional to 1,958.57, 2,702.32 and 1,172.06

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Solution

The fourth proportional to 1,958.57, 2,702.32 and 1,172.06 is: 1,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.57 : 2,702.32 = 1,172.06 : x
  2. Step 2: Convert to fraction form
    1,958.57/2,702.32 = 1,172.06/x
  3. Step 3: Cross multiply
    1,958.57x = 2,702.32 × 1,172.06
  4. Step 4: Simplify right side
    1,958.57x = 3,167,264.74
  5. Step 5: Solve for x
    x = 3,167,264.74/1,958.57
  6. Step 6: Final answer
    x = 1,617.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.