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Finding the Fourth Proportional to 1,536.68, 2,112.80 and 1,378.20

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Solution

The fourth proportional to 1,536.68, 2,112.80 and 1,378.20 is: 1,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.68 : 2,112.80 = 1,378.20 : x
  2. Step 2: Convert to fraction form
    1,536.68/2,112.80 = 1,378.20/x
  3. Step 3: Cross multiply
    1,536.68x = 2,112.80 × 1,378.20
  4. Step 4: Simplify right side
    1,536.68x = 2,911,860.96
  5. Step 5: Solve for x
    x = 2,911,860.96/1,536.68
  6. Step 6: Final answer
    x = 1,894.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.