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Finding the Fourth Proportional to 2,089.61, 2,883.08 and 1,492.29

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Solution

The fourth proportional to 2,089.61, 2,883.08 and 1,492.29 is: 2,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.61 : 2,883.08 = 1,492.29 : x
  2. Step 2: Convert to fraction form
    2,089.61/2,883.08 = 1,492.29/x
  3. Step 3: Cross multiply
    2,089.61x = 2,883.08 × 1,492.29
  4. Step 4: Simplify right side
    2,089.61x = 4,302,380.92
  5. Step 5: Solve for x
    x = 4,302,380.92/2,089.61
  6. Step 6: Final answer
    x = 2,058.94

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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.