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Finding the Fourth Proportional to 2,154.99, 3,232.51 and 595.08

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Solution

The fourth proportional to 2,154.99, 3,232.51 and 595.08 is: 892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.99 : 3,232.51 = 595.08 : x
  2. Step 2: Convert to fraction form
    2,154.99/3,232.51 = 595.08/x
  3. Step 3: Cross multiply
    2,154.99x = 3,232.51 × 595.08
  4. Step 4: Simplify right side
    2,154.99x = 1,923,602.05
  5. Step 5: Solve for x
    x = 1,923,602.05/2,154.99
  6. Step 6: Final answer
    x = 892.63

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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.