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Finding the Fourth Proportional to 1,805.90, 2,492.06 and 1,215.50

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Solution

The fourth proportional to 1,805.90, 2,492.06 and 1,215.50 is: 1,677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.90 : 2,492.06 = 1,215.50 : x
  2. Step 2: Convert to fraction form
    1,805.90/2,492.06 = 1,215.50/x
  3. Step 3: Cross multiply
    1,805.90x = 2,492.06 × 1,215.50
  4. Step 4: Simplify right side
    1,805.90x = 3,029,098.93
  5. Step 5: Solve for x
    x = 3,029,098.93/1,805.90
  6. Step 6: Final answer
    x = 1,677.33

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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.