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Finding the Fourth Proportional to 2,238.82, 3,089.63 and 1,472.00

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Solution

The fourth proportional to 2,238.82, 3,089.63 and 1,472.00 is: 2,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.82 : 3,089.63 = 1,472.00 : x
  2. Step 2: Convert to fraction form
    2,238.82/3,089.63 = 1,472.00/x
  3. Step 3: Cross multiply
    2,238.82x = 3,089.63 × 1,472.00
  4. Step 4: Simplify right side
    2,238.82x = 4,547,923.59
  5. Step 5: Solve for x
    x = 4,547,923.59/2,238.82
  6. Step 6: Final answer
    x = 2,031.40

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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.