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Finding the Fourth Proportional to 3,116.33, 4,681.28 and 1,884.32

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Solution

The fourth proportional to 3,116.33, 4,681.28 and 1,884.32 is: 2,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.33 : 4,681.28 = 1,884.32 : x
  2. Step 2: Convert to fraction form
    3,116.33/4,681.28 = 1,884.32/x
  3. Step 3: Cross multiply
    3,116.33x = 4,681.28 × 1,884.32
  4. Step 4: Simplify right side
    3,116.33x = 8,821,029.53
  5. Step 5: Solve for x
    x = 8,821,029.53/3,116.33
  6. Step 6: Final answer
    x = 2,830.58

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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.