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Finding the Fourth Proportional to 2,593.34, 3,888.68 and 949.46

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Solution

The fourth proportional to 2,593.34, 3,888.68 and 949.46 is: 1,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.34 : 3,888.68 = 949.46 : x
  2. Step 2: Convert to fraction form
    2,593.34/3,888.68 = 949.46/x
  3. Step 3: Cross multiply
    2,593.34x = 3,888.68 × 949.46
  4. Step 4: Simplify right side
    2,593.34x = 3,692,146.11
  5. Step 5: Solve for x
    x = 3,692,146.11/2,593.34
  6. Step 6: Final answer
    x = 1,423.70

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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.