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Finding the Fourth Proportional to 1,810.54, 2,711.76 and 833.68

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Solution

The fourth proportional to 1,810.54, 2,711.76 and 833.68 is: 1,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.54 : 2,711.76 = 833.68 : x
  2. Step 2: Convert to fraction form
    1,810.54/2,711.76 = 833.68/x
  3. Step 3: Cross multiply
    1,810.54x = 2,711.76 × 833.68
  4. Step 4: Simplify right side
    1,810.54x = 2,260,740.08
  5. Step 5: Solve for x
    x = 2,260,740.08/1,810.54
  6. Step 6: Final answer
    x = 1,248.66

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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.