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Finding the Fourth Proportional to 1,648.16, 2,274.45 and 985.40

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Solution

The fourth proportional to 1,648.16, 2,274.45 and 985.40 is: 1,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.16 : 2,274.45 = 985.40 : x
  2. Step 2: Convert to fraction form
    1,648.16/2,274.45 = 985.40/x
  3. Step 3: Cross multiply
    1,648.16x = 2,274.45 × 985.40
  4. Step 4: Simplify right side
    1,648.16x = 2,241,231.66
  5. Step 5: Solve for x
    x = 2,241,231.66/1,648.16
  6. Step 6: Final answer
    x = 1,359.84

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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.