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Finding the Fourth Proportional to 3,069.63, 4,235.58 and 1,810.23

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Solution

The fourth proportional to 3,069.63, 4,235.58 and 1,810.23 is: 2,497.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.63 : 4,235.58 = 1,810.23 : x
  2. Step 2: Convert to fraction form
    3,069.63/4,235.58 = 1,810.23/x
  3. Step 3: Cross multiply
    3,069.63x = 4,235.58 × 1,810.23
  4. Step 4: Simplify right side
    3,069.63x = 7,667,373.98
  5. Step 5: Solve for x
    x = 7,667,373.98/3,069.63
  6. Step 6: Final answer
    x = 2,497.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.