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Finding the Fourth Proportional to 2,493.06, 3,740.45 and 2,493.06

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Solution

The fourth proportional to 2,493.06, 3,740.45 and 2,493.06 is: 3,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.06 : 3,740.45 = 2,493.06 : x
  2. Step 2: Convert to fraction form
    2,493.06/3,740.45 = 2,493.06/x
  3. Step 3: Cross multiply
    2,493.06x = 3,740.45 × 2,493.06
  4. Step 4: Simplify right side
    2,493.06x = 9,325,153.81
  5. Step 5: Solve for x
    x = 9,325,153.81/2,493.06
  6. Step 6: Final answer
    x = 3,740.45

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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.