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Finding the Fourth Proportional to 1,781.07, 2,457.78 and 994.97

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Solution

The fourth proportional to 1,781.07, 2,457.78 and 994.97 is: 1,373.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.07 : 2,457.78 = 994.97 : x
  2. Step 2: Convert to fraction form
    1,781.07/2,457.78 = 994.97/x
  3. Step 3: Cross multiply
    1,781.07x = 2,457.78 × 994.97
  4. Step 4: Simplify right side
    1,781.07x = 2,445,405.08
  5. Step 5: Solve for x
    x = 2,445,405.08/1,781.07
  6. Step 6: Final answer
    x = 1,373.00

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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.