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Finding the Fourth Proportional to 3,069.30, 4,235.80 and 1,811.10

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Solution

The fourth proportional to 3,069.30, 4,235.80 and 1,811.10 is: 2,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.30 : 4,235.80 = 1,811.10 : x
  2. Step 2: Convert to fraction form
    3,069.30/4,235.80 = 1,811.10/x
  3. Step 3: Cross multiply
    3,069.30x = 4,235.80 × 1,811.10
  4. Step 4: Simplify right side
    3,069.30x = 7,671,457.38
  5. Step 5: Solve for x
    x = 7,671,457.38/3,069.30
  6. Step 6: Final answer
    x = 2,499.42

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Why These Related Problems?

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