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Finding the Fourth Proportional to 1,820.84, 2,512.90 and 1,024.26

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Solution

The fourth proportional to 1,820.84, 2,512.90 and 1,024.26 is: 1,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.84 : 2,512.90 = 1,024.26 : x
  2. Step 2: Convert to fraction form
    1,820.84/2,512.90 = 1,024.26/x
  3. Step 3: Cross multiply
    1,820.84x = 2,512.90 × 1,024.26
  4. Step 4: Simplify right side
    1,820.84x = 2,573,862.95
  5. Step 5: Solve for x
    x = 2,573,862.95/1,820.84
  6. Step 6: Final answer
    x = 1,413.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.