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Finding the Fourth Proportional to 1,919.68, 2,649.52 and 1,529.76

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Solution

The fourth proportional to 1,919.68, 2,649.52 and 1,529.76 is: 2,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.68 : 2,649.52 = 1,529.76 : x
  2. Step 2: Convert to fraction form
    1,919.68/2,649.52 = 1,529.76/x
  3. Step 3: Cross multiply
    1,919.68x = 2,649.52 × 1,529.76
  4. Step 4: Simplify right side
    1,919.68x = 4,053,129.72
  5. Step 5: Solve for x
    x = 4,053,129.72/1,919.68
  6. Step 6: Final answer
    x = 2,111.36

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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.