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Finding the Fourth Proportional to 3,256.01, 4,883.99 and 790.81

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Solution

The fourth proportional to 3,256.01, 4,883.99 and 790.81 is: 1,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.01 : 4,883.99 = 790.81 : x
  2. Step 2: Convert to fraction form
    3,256.01/4,883.99 = 790.81/x
  3. Step 3: Cross multiply
    3,256.01x = 4,883.99 × 790.81
  4. Step 4: Simplify right side
    3,256.01x = 3,862,301.06
  5. Step 5: Solve for x
    x = 3,862,301.06/3,256.01
  6. Step 6: Final answer
    x = 1,186.21

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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.