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Finding the Fourth Proportional to 1,810.35, 2,498.26 and 1,024.39

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Solution

The fourth proportional to 1,810.35, 2,498.26 and 1,024.39 is: 1,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.35 : 2,498.26 = 1,024.39 : x
  2. Step 2: Convert to fraction form
    1,810.35/2,498.26 = 1,024.39/x
  3. Step 3: Cross multiply
    1,810.35x = 2,498.26 × 1,024.39
  4. Step 4: Simplify right side
    1,810.35x = 2,559,190.00
  5. Step 5: Solve for x
    x = 2,559,190.00/1,810.35
  6. Step 6: Final answer
    x = 1,413.65

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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.