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Finding the Fourth Proportional to 1,362.58, 1,881.08 and 1,097.10

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Solution

The fourth proportional to 1,362.58, 1,881.08 and 1,097.10 is: 1,514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.58 : 1,881.08 = 1,097.10 : x
  2. Step 2: Convert to fraction form
    1,362.58/1,881.08 = 1,097.10/x
  3. Step 3: Cross multiply
    1,362.58x = 1,881.08 × 1,097.10
  4. Step 4: Simplify right side
    1,362.58x = 2,063,732.87
  5. Step 5: Solve for x
    x = 2,063,732.87/1,362.58
  6. Step 6: Final answer
    x = 1,514.58

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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.