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Finding the Fourth Proportional to 1,492.82, 2,238.12 and 907.96

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Solution

The fourth proportional to 1,492.82, 2,238.12 and 907.96 is: 1,361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.82 : 2,238.12 = 907.96 : x
  2. Step 2: Convert to fraction form
    1,492.82/2,238.12 = 907.96/x
  3. Step 3: Cross multiply
    1,492.82x = 2,238.12 × 907.96
  4. Step 4: Simplify right side
    1,492.82x = 2,032,123.44
  5. Step 5: Solve for x
    x = 2,032,123.44/1,492.82
  6. Step 6: Final answer
    x = 1,361.26

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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.