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Finding the Fourth Proportional to 1,656.22, 2,285.64 and 948.17

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Solution

The fourth proportional to 1,656.22, 2,285.64 and 948.17 is: 1,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.22 : 2,285.64 = 948.17 : x
  2. Step 2: Convert to fraction form
    1,656.22/2,285.64 = 948.17/x
  3. Step 3: Cross multiply
    1,656.22x = 2,285.64 × 948.17
  4. Step 4: Simplify right side
    1,656.22x = 2,167,175.28
  5. Step 5: Solve for x
    x = 2,167,175.28/1,656.22
  6. Step 6: Final answer
    x = 1,308.51

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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.