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Finding the Fourth Proportional to 3,141.40, 4,706.70 and 1,985.80

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Solution

The fourth proportional to 3,141.40, 4,706.70 and 1,985.80 is: 2,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.40 : 4,706.70 = 1,985.80 : x
  2. Step 2: Convert to fraction form
    3,141.40/4,706.70 = 1,985.80/x
  3. Step 3: Cross multiply
    3,141.40x = 4,706.70 × 1,985.80
  4. Step 4: Simplify right side
    3,141.40x = 9,346,564.86
  5. Step 5: Solve for x
    x = 9,346,564.86/3,141.40
  6. Step 6: Final answer
    x = 2,975.29

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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.