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Finding the Fourth Proportional to 1,406.85, 1,939.39 and 985.87

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Solution

The fourth proportional to 1,406.85, 1,939.39 and 985.87 is: 1,359.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.85 : 1,939.39 = 985.87 : x
  2. Step 2: Convert to fraction form
    1,406.85/1,939.39 = 985.87/x
  3. Step 3: Cross multiply
    1,406.85x = 1,939.39 × 985.87
  4. Step 4: Simplify right side
    1,406.85x = 1,911,986.42
  5. Step 5: Solve for x
    x = 1,911,986.42/1,406.85
  6. Step 6: Final answer
    x = 1,359.05

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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.