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Finding the Fourth Proportional to 2,092.84, 3,139.29 and 632.00

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Solution

The fourth proportional to 2,092.84, 3,139.29 and 632.00 is: 948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.84 : 3,139.29 = 632.00 : x
  2. Step 2: Convert to fraction form
    2,092.84/3,139.29 = 632.00/x
  3. Step 3: Cross multiply
    2,092.84x = 3,139.29 × 632.00
  4. Step 4: Simplify right side
    2,092.84x = 1,984,039.13
  5. Step 5: Solve for x
    x = 1,984,039.13/2,092.84
  6. Step 6: Final answer
    x = 948.01

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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.