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Finding the Fourth Proportional to 1,404.54, 2,097.09 and 1,317.06

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Solution

The fourth proportional to 1,404.54, 2,097.09 and 1,317.06 is: 1,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.54 : 2,097.09 = 1,317.06 : x
  2. Step 2: Convert to fraction form
    1,404.54/2,097.09 = 1,317.06/x
  3. Step 3: Cross multiply
    1,404.54x = 2,097.09 × 1,317.06
  4. Step 4: Simplify right side
    1,404.54x = 2,761,993.36
  5. Step 5: Solve for x
    x = 2,761,993.36/1,404.54
  6. Step 6: Final answer
    x = 1,966.48

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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.