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Finding the Fourth Proportional to 1,932.83, 2,899.10 and 945.26

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Solution

The fourth proportional to 1,932.83, 2,899.10 and 945.26 is: 1,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.83 : 2,899.10 = 945.26 : x
  2. Step 2: Convert to fraction form
    1,932.83/2,899.10 = 945.26/x
  3. Step 3: Cross multiply
    1,932.83x = 2,899.10 × 945.26
  4. Step 4: Simplify right side
    1,932.83x = 2,740,384.04
  5. Step 5: Solve for x
    x = 2,740,384.04/1,932.83
  6. Step 6: Final answer
    x = 1,417.81

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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.