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Finding the Fourth Proportional to 4,967.78, 7,451.65 and 1,270.00

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Solution

The fourth proportional to 4,967.78, 7,451.65 and 1,270.00 is: 1,904.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.78 : 7,451.65 = 1,270.00 : x
  2. Step 2: Convert to fraction form
    4,967.78/7,451.65 = 1,270.00/x
  3. Step 3: Cross multiply
    4,967.78x = 7,451.65 × 1,270.00
  4. Step 4: Simplify right side
    4,967.78x = 9,463,573.70
  5. Step 5: Solve for x
    x = 9,463,573.70/4,967.78
  6. Step 6: Final answer
    x = 1,904.99

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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.