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Finding the Fourth Proportional to 1,882.48, 2,810.24 and 1,636.51

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Solution

The fourth proportional to 1,882.48, 2,810.24 and 1,636.51 is: 2,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.48 : 2,810.24 = 1,636.51 : x
  2. Step 2: Convert to fraction form
    1,882.48/2,810.24 = 1,636.51/x
  3. Step 3: Cross multiply
    1,882.48x = 2,810.24 × 1,636.51
  4. Step 4: Simplify right side
    1,882.48x = 4,598,985.86
  5. Step 5: Solve for x
    x = 4,598,985.86/1,882.48
  6. Step 6: Final answer
    x = 2,443.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.