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Finding the Fourth Proportional to 1,685.80, 2,526.54 and 914.68

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Solution

The fourth proportional to 1,685.80, 2,526.54 and 914.68 is: 1,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.80 : 2,526.54 = 914.68 : x
  2. Step 2: Convert to fraction form
    1,685.80/2,526.54 = 914.68/x
  3. Step 3: Cross multiply
    1,685.80x = 2,526.54 × 914.68
  4. Step 4: Simplify right side
    1,685.80x = 2,310,975.61
  5. Step 5: Solve for x
    x = 2,310,975.61/1,685.80
  6. Step 6: Final answer
    x = 1,370.85

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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.