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Finding the Fourth Proportional to 1,677.31, 2,314.68 and 931.35

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Solution

The fourth proportional to 1,677.31, 2,314.68 and 931.35 is: 1,285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.31 : 2,314.68 = 931.35 : x
  2. Step 2: Convert to fraction form
    1,677.31/2,314.68 = 931.35/x
  3. Step 3: Cross multiply
    1,677.31x = 2,314.68 × 931.35
  4. Step 4: Simplify right side
    1,677.31x = 2,155,777.22
  5. Step 5: Solve for x
    x = 2,155,777.22/1,677.31
  6. Step 6: Final answer
    x = 1,285.26

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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.