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Finding the Fourth Proportional to 1,981.89, 2,733.19 and 1,702.03

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Solution

The fourth proportional to 1,981.89, 2,733.19 and 1,702.03 is: 2,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.89 : 2,733.19 = 1,702.03 : x
  2. Step 2: Convert to fraction form
    1,981.89/2,733.19 = 1,702.03/x
  3. Step 3: Cross multiply
    1,981.89x = 2,733.19 × 1,702.03
  4. Step 4: Simplify right side
    1,981.89x = 4,651,971.38
  5. Step 5: Solve for x
    x = 4,651,971.38/1,981.89
  6. Step 6: Final answer
    x = 2,347.24

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Why These Related Problems?

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