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Finding the Fourth Proportional to 1,375.35, 2,056.62 and 912.42

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Solution

The fourth proportional to 1,375.35, 2,056.62 and 912.42 is: 1,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.35 : 2,056.62 = 912.42 : x
  2. Step 2: Convert to fraction form
    1,375.35/2,056.62 = 912.42/x
  3. Step 3: Cross multiply
    1,375.35x = 2,056.62 × 912.42
  4. Step 4: Simplify right side
    1,375.35x = 1,876,501.22
  5. Step 5: Solve for x
    x = 1,876,501.22/1,375.35
  6. Step 6: Final answer
    x = 1,364.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.