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Finding the Fourth Proportional to 1,940.51, 2,911.19 and 707.92

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Solution

The fourth proportional to 1,940.51, 2,911.19 and 707.92 is: 1,062.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.51 : 2,911.19 = 707.92 : x
  2. Step 2: Convert to fraction form
    1,940.51/2,911.19 = 707.92/x
  3. Step 3: Cross multiply
    1,940.51x = 2,911.19 × 707.92
  4. Step 4: Simplify right side
    1,940.51x = 2,060,886.61
  5. Step 5: Solve for x
    x = 2,060,886.61/1,940.51
  6. Step 6: Final answer
    x = 1,062.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.