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Finding the Fourth Proportional to 2,594.68, 3,892 and 646.87

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Solution

The fourth proportional to 2,594.68, 3,892 and 646.87 is: 970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.68 : 3,892 = 646.87 : x
  2. Step 2: Convert to fraction form
    2,594.68/3,892 = 646.87/x
  3. Step 3: Cross multiply
    2,594.68x = 3,892 × 646.87
  4. Step 4: Simplify right side
    2,594.68x = 2,517,618.04
  5. Step 5: Solve for x
    x = 2,517,618.04/2,594.68
  6. Step 6: Final answer
    x = 970.30

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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.