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Finding the Fourth Proportional to 1,810.21, 2,498.04 and 1,024.24

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Solution

The fourth proportional to 1,810.21, 2,498.04 and 1,024.24 is: 1,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.21 : 2,498.04 = 1,024.24 : x
  2. Step 2: Convert to fraction form
    1,810.21/2,498.04 = 1,024.24/x
  3. Step 3: Cross multiply
    1,810.21x = 2,498.04 × 1,024.24
  4. Step 4: Simplify right side
    1,810.21x = 2,558,592.49
  5. Step 5: Solve for x
    x = 2,558,592.49/1,810.21
  6. Step 6: Final answer
    x = 1,413.42

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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.