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Finding the Fourth Proportional to 1,364.58, 1,881.83 and 917.46

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Solution

The fourth proportional to 1,364.58, 1,881.83 and 917.46 is: 1,265.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.58 : 1,881.83 = 917.46 : x
  2. Step 2: Convert to fraction form
    1,364.58/1,881.83 = 917.46/x
  3. Step 3: Cross multiply
    1,364.58x = 1,881.83 × 917.46
  4. Step 4: Simplify right side
    1,364.58x = 1,726,506.05
  5. Step 5: Solve for x
    x = 1,726,506.05/1,364.58
  6. Step 6: Final answer
    x = 1,265.23

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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.