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Finding the Fourth Proportional to 2,301.85, 3,451.92 and 985.57

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Solution

The fourth proportional to 2,301.85, 3,451.92 and 985.57 is: 1,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.85 : 3,451.92 = 985.57 : x
  2. Step 2: Convert to fraction form
    2,301.85/3,451.92 = 985.57/x
  3. Step 3: Cross multiply
    2,301.85x = 3,451.92 × 985.57
  4. Step 4: Simplify right side
    2,301.85x = 3,402,096.47
  5. Step 5: Solve for x
    x = 3,402,096.47/2,301.85
  6. Step 6: Final answer
    x = 1,477.98

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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.