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Finding the Fourth Proportional to 2,484.54, 3,726.81 and 1,097.58

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Solution

The fourth proportional to 2,484.54, 3,726.81 and 1,097.58 is: 1,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.54 : 3,726.81 = 1,097.58 : x
  2. Step 2: Convert to fraction form
    2,484.54/3,726.81 = 1,097.58/x
  3. Step 3: Cross multiply
    2,484.54x = 3,726.81 × 1,097.58
  4. Step 4: Simplify right side
    2,484.54x = 4,090,486.10
  5. Step 5: Solve for x
    x = 4,090,486.10/2,484.54
  6. Step 6: Final answer
    x = 1,646.38

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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.