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Finding the Fourth Proportional to 2,069.04, 2,854.82 and 1,509.81

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Solution

The fourth proportional to 2,069.04, 2,854.82 and 1,509.81 is: 2,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.04 : 2,854.82 = 1,509.81 : x
  2. Step 2: Convert to fraction form
    2,069.04/2,854.82 = 1,509.81/x
  3. Step 3: Cross multiply
    2,069.04x = 2,854.82 × 1,509.81
  4. Step 4: Simplify right side
    2,069.04x = 4,310,236.42
  5. Step 5: Solve for x
    x = 4,310,236.42/2,069.04
  6. Step 6: Final answer
    x = 2,083.21

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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.