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Finding the Fourth Proportional to 1,656.25, 2,287.63 and 1,207.41

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Solution

The fourth proportional to 1,656.25, 2,287.63 and 1,207.41 is: 1,667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.25 : 2,287.63 = 1,207.41 : x
  2. Step 2: Convert to fraction form
    1,656.25/2,287.63 = 1,207.41/x
  3. Step 3: Cross multiply
    1,656.25x = 2,287.63 × 1,207.41
  4. Step 4: Simplify right side
    1,656.25x = 2,762,093.48
  5. Step 5: Solve for x
    x = 2,762,093.48/1,656.25
  6. Step 6: Final answer
    x = 1,667.68

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