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Finding the Fourth Proportional to 2,495.01, 3,740.49 and 934.14

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Solution

The fourth proportional to 2,495.01, 3,740.49 and 934.14 is: 1,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.01 : 3,740.49 = 934.14 : x
  2. Step 2: Convert to fraction form
    2,495.01/3,740.49 = 934.14/x
  3. Step 3: Cross multiply
    2,495.01x = 3,740.49 × 934.14
  4. Step 4: Simplify right side
    2,495.01x = 3,494,138.99
  5. Step 5: Solve for x
    x = 3,494,138.99/2,495.01
  6. Step 6: Final answer
    x = 1,400.45

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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.