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Finding the Fourth Proportional to 2,592.77, 3,889.17 and 644.90

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Solution

The fourth proportional to 2,592.77, 3,889.17 and 644.90 is: 967.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.77 : 3,889.17 = 644.90 : x
  2. Step 2: Convert to fraction form
    2,592.77/3,889.17 = 644.90/x
  3. Step 3: Cross multiply
    2,592.77x = 3,889.17 × 644.90
  4. Step 4: Simplify right side
    2,592.77x = 2,508,106.29
  5. Step 5: Solve for x
    x = 2,508,106.29/2,592.77
  6. Step 6: Final answer
    x = 967.35

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1.5x scale

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.