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Finding the Fourth Proportional to 1,781.03, 2,457.80 and 984.36

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Solution

The fourth proportional to 1,781.03, 2,457.80 and 984.36 is: 1,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.03 : 2,457.80 = 984.36 : x
  2. Step 2: Convert to fraction form
    1,781.03/2,457.80 = 984.36/x
  3. Step 3: Cross multiply
    1,781.03x = 2,457.80 × 984.36
  4. Step 4: Simplify right side
    1,781.03x = 2,419,345.87
  5. Step 5: Solve for x
    x = 2,419,345.87/1,781.03
  6. Step 6: Final answer
    x = 1,358.40

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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.