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Finding the Fourth Proportional to 1,703.14, 2,552.23 and 922.48

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Solution

The fourth proportional to 1,703.14, 2,552.23 and 922.48 is: 1,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.14 : 2,552.23 = 922.48 : x
  2. Step 2: Convert to fraction form
    1,703.14/2,552.23 = 922.48/x
  3. Step 3: Cross multiply
    1,703.14x = 2,552.23 × 922.48
  4. Step 4: Simplify right side
    1,703.14x = 2,354,381.13
  5. Step 5: Solve for x
    x = 2,354,381.13/1,703.14
  6. Step 6: Final answer
    x = 1,382.38

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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.