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Finding the Fourth Proportional to 2,593.80, 3,890.70 and 646.00

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Solution

The fourth proportional to 2,593.80, 3,890.70 and 646.00 is: 969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.80 : 3,890.70 = 646.00 : x
  2. Step 2: Convert to fraction form
    2,593.80/3,890.70 = 646.00/x
  3. Step 3: Cross multiply
    2,593.80x = 3,890.70 × 646.00
  4. Step 4: Simplify right side
    2,593.80x = 2,513,382.47
  5. Step 5: Solve for x
    x = 2,513,382.47/2,593.80
  6. Step 6: Final answer
    x = 969.00

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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.