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Finding the Fourth Proportional to 1,677.21, 2,314.52 and 931.13

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Solution

The fourth proportional to 1,677.21, 2,314.52 and 931.13 is: 1,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.21 : 2,314.52 = 931.13 : x
  2. Step 2: Convert to fraction form
    1,677.21/2,314.52 = 931.13/x
  3. Step 3: Cross multiply
    1,677.21x = 2,314.52 × 931.13
  4. Step 4: Simplify right side
    1,677.21x = 2,155,102.78
  5. Step 5: Solve for x
    x = 2,155,102.78/1,677.21
  6. Step 6: Final answer
    x = 1,284.93

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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.