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Finding the Fourth Proportional to 1,804.98, 2,492.25 and 1,143.42

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Solution

The fourth proportional to 1,804.98, 2,492.25 and 1,143.42 is: 1,578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.98 : 2,492.25 = 1,143.42 : x
  2. Step 2: Convert to fraction form
    1,804.98/2,492.25 = 1,143.42/x
  3. Step 3: Cross multiply
    1,804.98x = 2,492.25 × 1,143.42
  4. Step 4: Simplify right side
    1,804.98x = 2,849,688.50
  5. Step 5: Solve for x
    x = 2,849,688.50/1,804.98
  6. Step 6: Final answer
    x = 1,578.79

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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.