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Finding the Fourth Proportional to 1,657.91, 2,287.58 and 985.70

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Solution

The fourth proportional to 1,657.91, 2,287.58 and 985.70 is: 1,360.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.91 : 2,287.58 = 985.70 : x
  2. Step 2: Convert to fraction form
    1,657.91/2,287.58 = 985.70/x
  3. Step 3: Cross multiply
    1,657.91x = 2,287.58 × 985.70
  4. Step 4: Simplify right side
    1,657.91x = 2,254,851.24
  5. Step 5: Solve for x
    x = 2,254,851.24/1,657.91
  6. Step 6: Final answer
    x = 1,360.06

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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.