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Finding the Fourth Proportional to 1,677.18, 2,314.48 and 931.12

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Solution

The fourth proportional to 1,677.18, 2,314.48 and 931.12 is: 1,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.18 : 2,314.48 = 931.12 : x
  2. Step 2: Convert to fraction form
    1,677.18/2,314.48 = 931.12/x
  3. Step 3: Cross multiply
    1,677.18x = 2,314.48 × 931.12
  4. Step 4: Simplify right side
    1,677.18x = 2,155,062.08
  5. Step 5: Solve for x
    x = 2,155,062.08/1,677.18
  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.