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Finding the Fourth Proportional to 2,093.02, 3,139.49 and 632.14

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Solution

The fourth proportional to 2,093.02, 3,139.49 and 632.14 is: 948.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.02 : 3,139.49 = 632.14 : x
  2. Step 2: Convert to fraction form
    2,093.02/3,139.49 = 632.14/x
  3. Step 3: Cross multiply
    2,093.02x = 3,139.49 × 632.14
  4. Step 4: Simplify right side
    2,093.02x = 1,984,597.21
  5. Step 5: Solve for x
    x = 1,984,597.21/2,093.02
  6. Step 6: Final answer
    x = 948.20

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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.