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Finding the Fourth Proportional to 1,932.16, 2,898.07 and 1,238.08

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Solution

The fourth proportional to 1,932.16, 2,898.07 and 1,238.08 is: 1,857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.16 : 2,898.07 = 1,238.08 : x
  2. Step 2: Convert to fraction form
    1,932.16/2,898.07 = 1,238.08/x
  3. Step 3: Cross multiply
    1,932.16x = 2,898.07 × 1,238.08
  4. Step 4: Simplify right side
    1,932.16x = 3,588,042.51
  5. Step 5: Solve for x
    x = 3,588,042.51/1,932.16
  6. Step 6: Final answer
    x = 1,857.01

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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.