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Finding the Fourth Proportional to 1,837.62, 2,533.48 and 1,521.72

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Solution

The fourth proportional to 1,837.62, 2,533.48 and 1,521.72 is: 2,097.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.62 : 2,533.48 = 1,521.72 : x
  2. Step 2: Convert to fraction form
    1,837.62/2,533.48 = 1,521.72/x
  3. Step 3: Cross multiply
    1,837.62x = 2,533.48 × 1,521.72
  4. Step 4: Simplify right side
    1,837.62x = 3,855,243.38
  5. Step 5: Solve for x
    x = 3,855,243.38/1,837.62
  6. Step 6: Final answer
    x = 2,097.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.