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Finding the Fourth Proportional to 2,069.45, 2,854.04 and 1,509.71

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Solution

The fourth proportional to 2,069.45, 2,854.04 and 1,509.71 is: 2,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.45 : 2,854.04 = 1,509.71 : x
  2. Step 2: Convert to fraction form
    2,069.45/2,854.04 = 1,509.71/x
  3. Step 3: Cross multiply
    2,069.45x = 2,854.04 × 1,509.71
  4. Step 4: Simplify right side
    2,069.45x = 4,308,774.99
  5. Step 5: Solve for x
    x = 4,308,774.99/2,069.45
  6. Step 6: Final answer
    x = 2,082.09

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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.