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Finding the Fourth Proportional to 1,645.22, 2,270.91 and 947.06

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Solution

The fourth proportional to 1,645.22, 2,270.91 and 947.06 is: 1,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.22 : 2,270.91 = 947.06 : x
  2. Step 2: Convert to fraction form
    1,645.22/2,270.91 = 947.06/x
  3. Step 3: Cross multiply
    1,645.22x = 2,270.91 × 947.06
  4. Step 4: Simplify right side
    1,645.22x = 2,150,688.02
  5. Step 5: Solve for x
    x = 2,150,688.02/1,645.22
  6. Step 6: Final answer
    x = 1,307.23

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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.