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Finding the Fourth Proportional to 1,153.82, 1,592.01 and 1,114.30

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Solution

The fourth proportional to 1,153.82, 1,592.01 and 1,114.30 is: 1,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.82 : 1,592.01 = 1,114.30 : x
  2. Step 2: Convert to fraction form
    1,153.82/1,592.01 = 1,114.30/x
  3. Step 3: Cross multiply
    1,153.82x = 1,592.01 × 1,114.30
  4. Step 4: Simplify right side
    1,153.82x = 1,773,976.74
  5. Step 5: Solve for x
    x = 1,773,976.74/1,153.82
  6. Step 6: Final answer
    x = 1,537.48

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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.