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Finding the Fourth Proportional to 1,820.48, 2,728.10 and 1,038.86

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Solution

The fourth proportional to 1,820.48, 2,728.10 and 1,038.86 is: 1,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.48 : 2,728.10 = 1,038.86 : x
  2. Step 2: Convert to fraction form
    1,820.48/2,728.10 = 1,038.86/x
  3. Step 3: Cross multiply
    1,820.48x = 2,728.10 × 1,038.86
  4. Step 4: Simplify right side
    1,820.48x = 2,834,113.97
  5. Step 5: Solve for x
    x = 2,834,113.97/1,820.48
  6. Step 6: Final answer
    x = 1,556.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.