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Finding the Fourth Proportional to 1,995.48, 2,978.96 and 1,685.16

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Solution

The fourth proportional to 1,995.48, 2,978.96 and 1,685.16 is: 2,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.48 : 2,978.96 = 1,685.16 : x
  2. Step 2: Convert to fraction form
    1,995.48/2,978.96 = 1,685.16/x
  3. Step 3: Cross multiply
    1,995.48x = 2,978.96 × 1,685.16
  4. Step 4: Simplify right side
    1,995.48x = 5,020,015.81
  5. Step 5: Solve for x
    x = 5,020,015.81/1,995.48
  6. Step 6: Final answer
    x = 2,515.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.