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Finding the Fourth Proportional to 1,748.59, 2,413.03 and 992.51

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Solution

The fourth proportional to 1,748.59, 2,413.03 and 992.51 is: 1,369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.59 : 2,413.03 = 992.51 : x
  2. Step 2: Convert to fraction form
    1,748.59/2,413.03 = 992.51/x
  3. Step 3: Cross multiply
    1,748.59x = 2,413.03 × 992.51
  4. Step 4: Simplify right side
    1,748.59x = 2,394,956.41
  5. Step 5: Solve for x
    x = 2,394,956.41/1,748.59
  6. Step 6: Final answer
    x = 1,369.65

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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.