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Finding the Fourth Proportional to 2,093.54, 3,140.02 and 1,158.21

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Solution

The fourth proportional to 2,093.54, 3,140.02 and 1,158.21 is: 1,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.54 : 3,140.02 = 1,158.21 : x
  2. Step 2: Convert to fraction form
    2,093.54/3,140.02 = 1,158.21/x
  3. Step 3: Cross multiply
    2,093.54x = 3,140.02 × 1,158.21
  4. Step 4: Simplify right side
    2,093.54x = 3,636,802.56
  5. Step 5: Solve for x
    x = 3,636,802.56/2,093.54
  6. Step 6: Final answer
    x = 1,737.15

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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.