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Finding the Fourth Proportional to 2,592.41, 3,888.57 and 644.63

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Solution

The fourth proportional to 2,592.41, 3,888.57 and 644.63 is: 966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.41 : 3,888.57 = 644.63 : x
  2. Step 2: Convert to fraction form
    2,592.41/3,888.57 = 644.63/x
  3. Step 3: Cross multiply
    2,592.41x = 3,888.57 × 644.63
  4. Step 4: Simplify right side
    2,592.41x = 2,506,688.88
  5. Step 5: Solve for x
    x = 2,506,688.88/2,592.41
  6. Step 6: Final answer
    x = 966.93

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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.