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Finding the Fourth Proportional to 2,093.55, 3,140.32 and 632.62

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Solution

The fourth proportional to 2,093.55, 3,140.32 and 632.62 is: 948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.55 : 3,140.32 = 632.62 : x
  2. Step 2: Convert to fraction form
    2,093.55/3,140.32 = 632.62/x
  3. Step 3: Cross multiply
    2,093.55x = 3,140.32 × 632.62
  4. Step 4: Simplify right side
    2,093.55x = 1,986,627.66
  5. Step 5: Solve for x
    x = 1,986,627.66/2,093.55
  6. Step 6: Final answer
    x = 948.93

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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.