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Finding the Fourth Proportional to 1,378.32, 1,899.26 and 1,063.62

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Solution

The fourth proportional to 1,378.32, 1,899.26 and 1,063.62 is: 1,465.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.32 : 1,899.26 = 1,063.62 : x
  2. Step 2: Convert to fraction form
    1,378.32/1,899.26 = 1,063.62/x
  3. Step 3: Cross multiply
    1,378.32x = 1,899.26 × 1,063.62
  4. Step 4: Simplify right side
    1,378.32x = 2,020,090.92
  5. Step 5: Solve for x
    x = 2,020,090.92/1,378.32
  6. Step 6: Final answer
    x = 1,465.62

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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.