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Finding the Fourth Proportional to 1,919.50, 2,648.19 and 1,256.72

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Solution

The fourth proportional to 1,919.50, 2,648.19 and 1,256.72 is: 1,733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.50 : 2,648.19 = 1,256.72 : x
  2. Step 2: Convert to fraction form
    1,919.50/2,648.19 = 1,256.72/x
  3. Step 3: Cross multiply
    1,919.50x = 2,648.19 × 1,256.72
  4. Step 4: Simplify right side
    1,919.50x = 3,328,024.81
  5. Step 5: Solve for x
    x = 3,328,024.81/1,919.50
  6. Step 6: Final answer
    x = 1,733.80

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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.