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Finding the Fourth Proportional to 1,175.13, 1,615.06 and 1,142.32

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Solution

The fourth proportional to 1,175.13, 1,615.06 and 1,142.32 is: 1,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.13 : 1,615.06 = 1,142.32 : x
  2. Step 2: Convert to fraction form
    1,175.13/1,615.06 = 1,142.32/x
  3. Step 3: Cross multiply
    1,175.13x = 1,615.06 × 1,142.32
  4. Step 4: Simplify right side
    1,175.13x = 1,844,915.34
  5. Step 5: Solve for x
    x = 1,844,915.34/1,175.13
  6. Step 6: Final answer
    x = 1,569.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.