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Finding the Fourth Proportional to 1,657.02, 2,286.98 and 948.90

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Solution

The fourth proportional to 1,657.02, 2,286.98 and 948.90 is: 1,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.02 : 2,286.98 = 948.90 : x
  2. Step 2: Convert to fraction form
    1,657.02/2,286.98 = 948.90/x
  3. Step 3: Cross multiply
    1,657.02x = 2,286.98 × 948.90
  4. Step 4: Simplify right side
    1,657.02x = 2,170,115.32
  5. Step 5: Solve for x
    x = 2,170,115.32/1,657.02
  6. Step 6: Final answer
    x = 1,309.65

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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.