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Finding the Fourth Proportional to 1,151.86, 1,735.48 and 1,042.31

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Solution

The fourth proportional to 1,151.86, 1,735.48 and 1,042.31 is: 1,570.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.86 : 1,735.48 = 1,042.31 : x
  2. Step 2: Convert to fraction form
    1,151.86/1,735.48 = 1,042.31/x
  3. Step 3: Cross multiply
    1,151.86x = 1,735.48 × 1,042.31
  4. Step 4: Simplify right side
    1,151.86x = 1,808,908.16
  5. Step 5: Solve for x
    x = 1,808,908.16/1,151.86
  6. Step 6: Final answer
    x = 1,570.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.