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Finding the Fourth Proportional to 1,677.71, 2,314.72 and 969.47

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Solution

The fourth proportional to 1,677.71, 2,314.72 and 969.47 is: 1,337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.71 : 2,314.72 = 969.47 : x
  2. Step 2: Convert to fraction form
    1,677.71/2,314.72 = 969.47/x
  3. Step 3: Cross multiply
    1,677.71x = 2,314.72 × 969.47
  4. Step 4: Simplify right side
    1,677.71x = 2,244,051.60
  5. Step 5: Solve for x
    x = 2,244,051.60/1,677.71
  6. Step 6: Final answer
    x = 1,337.57

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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.