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Finding the Fourth Proportional to 1,657.89, 2,287.76 and 959.31

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Solution

The fourth proportional to 1,657.89, 2,287.76 and 959.31 is: 1,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.89 : 2,287.76 = 959.31 : x
  2. Step 2: Convert to fraction form
    1,657.89/2,287.76 = 959.31/x
  3. Step 3: Cross multiply
    1,657.89x = 2,287.76 × 959.31
  4. Step 4: Simplify right side
    1,657.89x = 2,194,666.25
  5. Step 5: Solve for x
    x = 2,194,666.25/1,657.89
  6. Step 6: Final answer
    x = 1,323.77

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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.