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Finding the Fourth Proportional to 1,656.30, 2,285.48 and 948.06

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Solution

The fourth proportional to 1,656.30, 2,285.48 and 948.06 is: 1,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.30 : 2,285.48 = 948.06 : x
  2. Step 2: Convert to fraction form
    1,656.30/2,285.48 = 948.06/x
  3. Step 3: Cross multiply
    1,656.30x = 2,285.48 × 948.06
  4. Step 4: Simplify right side
    1,656.30x = 2,166,767.43
  5. Step 5: Solve for x
    x = 2,166,767.43/1,656.30
  6. Step 6: Final answer
    x = 1,308.20

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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.