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Finding the Fourth Proportional to 1,677.29, 2,314.54 and 931.19

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Solution

The fourth proportional to 1,677.29, 2,314.54 and 931.19 is: 1,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.29 : 2,314.54 = 931.19 : x
  2. Step 2: Convert to fraction form
    1,677.29/2,314.54 = 931.19/x
  3. Step 3: Cross multiply
    1,677.29x = 2,314.54 × 931.19
  4. Step 4: Simplify right side
    1,677.29x = 2,155,268.69
  5. Step 5: Solve for x
    x = 2,155,268.69/1,677.29
  6. Step 6: Final answer
    x = 1,284.97

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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.