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Finding the Fourth Proportional to 1,752.98, 2,413.09 and 1,562.83

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Solution

The fourth proportional to 1,752.98, 2,413.09 and 1,562.83 is: 2,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.98 : 2,413.09 = 1,562.83 : x
  2. Step 2: Convert to fraction form
    1,752.98/2,413.09 = 1,562.83/x
  3. Step 3: Cross multiply
    1,752.98x = 2,413.09 × 1,562.83
  4. Step 4: Simplify right side
    1,752.98x = 3,771,245.37
  5. Step 5: Solve for x
    x = 3,771,245.37/1,752.98
  6. Step 6: Final answer
    x = 2,151.34

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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.