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Finding the Fourth Proportional to 1,806.78, 2,492.19 and 1,509.78

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Solution

The fourth proportional to 1,806.78, 2,492.19 and 1,509.78 is: 2,082.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.78 : 2,492.19 = 1,509.78 : x
  2. Step 2: Convert to fraction form
    1,806.78/2,492.19 = 1,509.78/x
  3. Step 3: Cross multiply
    1,806.78x = 2,492.19 × 1,509.78
  4. Step 4: Simplify right side
    1,806.78x = 3,762,658.62
  5. Step 5: Solve for x
    x = 3,762,658.62/1,806.78
  6. Step 6: Final answer
    x = 2,082.52

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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.