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Finding the Fourth Proportional to 3,047.81, 4,570.80 and 1,292.78

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Solution

The fourth proportional to 3,047.81, 4,570.80 and 1,292.78 is: 1,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.81 : 4,570.80 = 1,292.78 : x
  2. Step 2: Convert to fraction form
    3,047.81/4,570.80 = 1,292.78/x
  3. Step 3: Cross multiply
    3,047.81x = 4,570.80 × 1,292.78
  4. Step 4: Simplify right side
    3,047.81x = 5,909,019.69
  5. Step 5: Solve for x
    x = 5,909,019.69/3,047.81
  6. Step 6: Final answer
    x = 1,938.78

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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.