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Finding the Fourth Proportional to 2,717.01, 4,077.14 and 985.77

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Solution

The fourth proportional to 2,717.01, 4,077.14 and 985.77 is: 1,479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.01 : 4,077.14 = 985.77 : x
  2. Step 2: Convert to fraction form
    2,717.01/4,077.14 = 985.77/x
  3. Step 3: Cross multiply
    2,717.01x = 4,077.14 × 985.77
  4. Step 4: Simplify right side
    2,717.01x = 4,019,117.37
  5. Step 5: Solve for x
    x = 4,019,117.37/2,717.01
  6. Step 6: Final answer
    x = 1,479.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.