Home / 1,810.24-2,498.11-1,024.25

Finding the Fourth Proportional to 1,810.24, 2,498.11 and 1,024.25

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Solution

The fourth proportional to 1,810.24, 2,498.11 and 1,024.25 is: 1,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.24 : 2,498.11 = 1,024.25 : x
  2. Step 2: Convert to fraction form
    1,810.24/2,498.11 = 1,024.25/x
  3. Step 3: Cross multiply
    1,810.24x = 2,498.11 × 1,024.25
  4. Step 4: Simplify right side
    1,810.24x = 2,558,674.12
  5. Step 5: Solve for x
    x = 2,558,674.12/1,810.24
  6. Step 6: Final answer
    x = 1,413.45

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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.