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Finding the Fourth Proportional to 1,959.16, 2,702.70 and 1,172.62

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Solution

The fourth proportional to 1,959.16, 2,702.70 and 1,172.62 is: 1,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.16 : 2,702.70 = 1,172.62 : x
  2. Step 2: Convert to fraction form
    1,959.16/2,702.70 = 1,172.62/x
  3. Step 3: Cross multiply
    1,959.16x = 2,702.70 × 1,172.62
  4. Step 4: Simplify right side
    1,959.16x = 3,169,240.07
  5. Step 5: Solve for x
    x = 3,169,240.07/1,959.16
  6. Step 6: Final answer
    x = 1,617.65

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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.