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Finding the Fourth Proportional to 3,033.58, 4,186.41 and 1,985.64

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Solution

The fourth proportional to 3,033.58, 4,186.41 and 1,985.64 is: 2,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.58 : 4,186.41 = 1,985.64 : x
  2. Step 2: Convert to fraction form
    3,033.58/4,186.41 = 1,985.64/x
  3. Step 3: Cross multiply
    3,033.58x = 4,186.41 × 1,985.64
  4. Step 4: Simplify right side
    3,033.58x = 8,312,672.29
  5. Step 5: Solve for x
    x = 8,312,672.29/3,033.58
  6. Step 6: Final answer
    x = 2,740.22

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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.