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Finding the Fourth Proportional to 1,538.65, 2,308.08 and 551.66

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Solution

The fourth proportional to 1,538.65, 2,308.08 and 551.66 is: 827.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.65 : 2,308.08 = 551.66 : x
  2. Step 2: Convert to fraction form
    1,538.65/2,308.08 = 551.66/x
  3. Step 3: Cross multiply
    1,538.65x = 2,308.08 × 551.66
  4. Step 4: Simplify right side
    1,538.65x = 1,273,275.41
  5. Step 5: Solve for x
    x = 1,273,275.41/1,538.65
  6. Step 6: Final answer
    x = 827.53

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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.