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Finding the Fourth Proportional to 1,515.52, 2,092.29 and 992.46

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Solution

The fourth proportional to 1,515.52, 2,092.29 and 992.46 is: 1,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.52 : 2,092.29 = 992.46 : x
  2. Step 2: Convert to fraction form
    1,515.52/2,092.29 = 992.46/x
  3. Step 3: Cross multiply
    1,515.52x = 2,092.29 × 992.46
  4. Step 4: Simplify right side
    1,515.52x = 2,076,514.13
  5. Step 5: Solve for x
    x = 2,076,514.13/1,515.52
  6. Step 6: Final answer
    x = 1,370.17

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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.