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Finding the Fourth Proportional to 1,838.48, 2,756.86 and 539.69

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Solution

The fourth proportional to 1,838.48, 2,756.86 and 539.69 is: 809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.48 : 2,756.86 = 539.69 : x
  2. Step 2: Convert to fraction form
    1,838.48/2,756.86 = 539.69/x
  3. Step 3: Cross multiply
    1,838.48x = 2,756.86 × 539.69
  4. Step 4: Simplify right side
    1,838.48x = 1,487,834.64
  5. Step 5: Solve for x
    x = 1,487,834.64/1,838.48
  6. Step 6: Final answer
    x = 809.28

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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.