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Finding the Fourth Proportional to 1,677.35, 2,314.76 and 931.32

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Solution

The fourth proportional to 1,677.35, 2,314.76 and 931.32 is: 1,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.35 : 2,314.76 = 931.32 : x
  2. Step 2: Convert to fraction form
    1,677.35/2,314.76 = 931.32/x
  3. Step 3: Cross multiply
    1,677.35x = 2,314.76 × 931.32
  4. Step 4: Simplify right side
    1,677.35x = 2,155,777.63
  5. Step 5: Solve for x
    x = 2,155,777.63/1,677.35
  6. Step 6: Final answer
    x = 1,285.23

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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.