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Finding the Fourth Proportional to 1,810.10, 2,497.86 and 1,024.13

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Solution

The fourth proportional to 1,810.10, 2,497.86 and 1,024.13 is: 1,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.10 : 2,497.86 = 1,024.13 : x
  2. Step 2: Convert to fraction form
    1,810.10/2,497.86 = 1,024.13/x
  3. Step 3: Cross multiply
    1,810.10x = 2,497.86 × 1,024.13
  4. Step 4: Simplify right side
    1,810.10x = 2,558,120.87
  5. Step 5: Solve for x
    x = 2,558,120.87/1,810.10
  6. Step 6: Final answer
    x = 1,413.25

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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.