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Finding the Fourth Proportional to 1,648.86, 2,275.39 and 985.33

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Solution

The fourth proportional to 1,648.86, 2,275.39 and 985.33 is: 1,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.86 : 2,275.39 = 985.33 : x
  2. Step 2: Convert to fraction form
    1,648.86/2,275.39 = 985.33/x
  3. Step 3: Cross multiply
    1,648.86x = 2,275.39 × 985.33
  4. Step 4: Simplify right side
    1,648.86x = 2,242,014.10
  5. Step 5: Solve for x
    x = 2,242,014.10/1,648.86
  6. Step 6: Final answer
    x = 1,359.74

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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.