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Finding the Fourth Proportional to 3,047.46, 4,570.87 and 1,810.95

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Solution

The fourth proportional to 3,047.46, 4,570.87 and 1,810.95 is: 2,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.46 : 4,570.87 = 1,810.95 : x
  2. Step 2: Convert to fraction form
    3,047.46/4,570.87 = 1,810.95/x
  3. Step 3: Cross multiply
    3,047.46x = 4,570.87 × 1,810.95
  4. Step 4: Simplify right side
    3,047.46x = 8,277,617.03
  5. Step 5: Solve for x
    x = 8,277,617.03/3,047.46
  6. Step 6: Final answer
    x = 2,716.23

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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.