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Finding the Fourth Proportional to 1,755.68, 2,425.32 and 1,403.93

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Solution

The fourth proportional to 1,755.68, 2,425.32 and 1,403.93 is: 1,939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.68 : 2,425.32 = 1,403.93 : x
  2. Step 2: Convert to fraction form
    1,755.68/2,425.32 = 1,403.93/x
  3. Step 3: Cross multiply
    1,755.68x = 2,425.32 × 1,403.93
  4. Step 4: Simplify right side
    1,755.68x = 3,404,985.57
  5. Step 5: Solve for x
    x = 3,404,985.57/1,755.68
  6. Step 6: Final answer
    x = 1,939.42

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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.