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Finding the Fourth Proportional to 1,592.34, 2,197.53 and 994.74

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Solution

The fourth proportional to 1,592.34, 2,197.53 and 994.74 is: 1,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.34 : 2,197.53 = 994.74 : x
  2. Step 2: Convert to fraction form
    1,592.34/2,197.53 = 994.74/x
  3. Step 3: Cross multiply
    1,592.34x = 2,197.53 × 994.74
  4. Step 4: Simplify right side
    1,592.34x = 2,185,970.99
  5. Step 5: Solve for x
    x = 2,185,970.99/1,592.34
  6. Step 6: Final answer
    x = 1,372.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.