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Finding the Fourth Proportional to 1,805.80, 2,492.49 and 1,142.86

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Solution

The fourth proportional to 1,805.80, 2,492.49 and 1,142.86 is: 1,577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.80 : 2,492.49 = 1,142.86 : x
  2. Step 2: Convert to fraction form
    1,805.80/2,492.49 = 1,142.86/x
  3. Step 3: Cross multiply
    1,805.80x = 2,492.49 × 1,142.86
  4. Step 4: Simplify right side
    1,805.80x = 2,848,567.12
  5. Step 5: Solve for x
    x = 2,848,567.12/1,805.80
  6. Step 6: Final answer
    x = 1,577.45

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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.