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Finding the Fourth Proportional to 1,809.98, 2,497.88 and 1,024.10

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Solution

The fourth proportional to 1,809.98, 2,497.88 and 1,024.10 is: 1,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.98 : 2,497.88 = 1,024.10 : x
  2. Step 2: Convert to fraction form
    1,809.98/2,497.88 = 1,024.10/x
  3. Step 3: Cross multiply
    1,809.98x = 2,497.88 × 1,024.10
  4. Step 4: Simplify right side
    1,809.98x = 2,558,078.91
  5. Step 5: Solve for x
    x = 2,558,078.91/1,809.98
  6. Step 6: Final answer
    x = 1,413.32

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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.