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Finding the Fourth Proportional to 2,657.48, 3,983.64 and 1,270.46

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Solution

The fourth proportional to 2,657.48, 3,983.64 and 1,270.46 is: 1,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.48 : 3,983.64 = 1,270.46 : x
  2. Step 2: Convert to fraction form
    2,657.48/3,983.64 = 1,270.46/x
  3. Step 3: Cross multiply
    2,657.48x = 3,983.64 × 1,270.46
  4. Step 4: Simplify right side
    2,657.48x = 5,061,047.12
  5. Step 5: Solve for x
    x = 5,061,047.12/2,657.48
  6. Step 6: Final answer
    x = 1,904.45

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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.