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Finding the Fourth Proportional to 1,809.96, 2,497.70 and 1,024.01

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Solution

The fourth proportional to 1,809.96, 2,497.70 and 1,024.01 is: 1,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.96 : 2,497.70 = 1,024.01 : x
  2. Step 2: Convert to fraction form
    1,809.96/2,497.70 = 1,024.01/x
  3. Step 3: Cross multiply
    1,809.96x = 2,497.70 × 1,024.01
  4. Step 4: Simplify right side
    1,809.96x = 2,557,669.78
  5. Step 5: Solve for x
    x = 2,557,669.78/1,809.96
  6. Step 6: Final answer
    x = 1,413.11

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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.