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Finding the Fourth Proportional to 2,377.26, 3,566.07 and 646.02

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Solution

The fourth proportional to 2,377.26, 3,566.07 and 646.02 is: 969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.26 : 3,566.07 = 646.02 : x
  2. Step 2: Convert to fraction form
    2,377.26/3,566.07 = 646.02/x
  3. Step 3: Cross multiply
    2,377.26x = 3,566.07 × 646.02
  4. Step 4: Simplify right side
    2,377.26x = 2,303,752.54
  5. Step 5: Solve for x
    x = 2,303,752.54/2,377.26
  6. Step 6: Final answer
    x = 969.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.