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Finding the Fourth Proportional to 1,378.68, 1,904.22 and 1,118.04

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Solution

The fourth proportional to 1,378.68, 1,904.22 and 1,118.04 is: 1,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.68 : 1,904.22 = 1,118.04 : x
  2. Step 2: Convert to fraction form
    1,378.68/1,904.22 = 1,118.04/x
  3. Step 3: Cross multiply
    1,378.68x = 1,904.22 × 1,118.04
  4. Step 4: Simplify right side
    1,378.68x = 2,128,994.13
  5. Step 5: Solve for x
    x = 2,128,994.13/1,378.68
  6. Step 6: Final answer
    x = 1,544.23

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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.