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Finding the Fourth Proportional to 2,377.38, 3,566.13 and 646.02

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Solution

The fourth proportional to 2,377.38, 3,566.13 and 646.02 is: 969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.38 : 3,566.13 = 646.02 : x
  2. Step 2: Convert to fraction form
    2,377.38/3,566.13 = 646.02/x
  3. Step 3: Cross multiply
    2,377.38x = 3,566.13 × 646.02
  4. Step 4: Simplify right side
    2,377.38x = 2,303,791.30
  5. Step 5: Solve for x
    x = 2,303,791.30/2,377.38
  6. Step 6: Final answer
    x = 969.05

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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.