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Finding the Fourth Proportional to 4,967.76, 7,451.56 and 1,270

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Solution

The fourth proportional to 4,967.76, 7,451.56 and 1,270 is: 1,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.76 : 7,451.56 = 1,270 : x
  2. Step 2: Convert to fraction form
    4,967.76/7,451.56 = 1,270/x
  3. Step 3: Cross multiply
    4,967.76x = 7,451.56 × 1,270
  4. Step 4: Simplify right side
    4,967.76x = 9,463,481.20
  5. Step 5: Solve for x
    x = 9,463,481.20/4,967.76
  6. Step 6: Final answer
    x = 1,904.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.