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Finding the Fourth Proportional to 1,810.12, 2,497.89 and 1,024.21

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Solution

The fourth proportional to 1,810.12, 2,497.89 and 1,024.21 is: 1,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.12 : 2,497.89 = 1,024.21 : x
  2. Step 2: Convert to fraction form
    1,810.12/2,497.89 = 1,024.21/x
  3. Step 3: Cross multiply
    1,810.12x = 2,497.89 × 1,024.21
  4. Step 4: Simplify right side
    1,810.12x = 2,558,363.92
  5. Step 5: Solve for x
    x = 2,558,363.92/1,810.12
  6. Step 6: Final answer
    x = 1,413.37

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1.5x scale

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.