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Finding the Fourth Proportional to 1,492.02, 2,239.65 and 762.21

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Solution

The fourth proportional to 1,492.02, 2,239.65 and 762.21 is: 1,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.02 : 2,239.65 = 762.21 : x
  2. Step 2: Convert to fraction form
    1,492.02/2,239.65 = 762.21/x
  3. Step 3: Cross multiply
    1,492.02x = 2,239.65 × 762.21
  4. Step 4: Simplify right side
    1,492.02x = 1,707,083.63
  5. Step 5: Solve for x
    x = 1,707,083.63/1,492.02
  6. Step 6: Final answer
    x = 1,144.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.