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Finding the Fourth Proportional to 2,538.86, 3,808.77 and 999.98

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Solution

The fourth proportional to 2,538.86, 3,808.77 and 999.98 is: 1,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.86 : 3,808.77 = 999.98 : x
  2. Step 2: Convert to fraction form
    2,538.86/3,808.77 = 999.98/x
  3. Step 3: Cross multiply
    2,538.86x = 3,808.77 × 999.98
  4. Step 4: Simplify right side
    2,538.86x = 3,808,693.82
  5. Step 5: Solve for x
    x = 3,808,693.82/2,538.86
  6. Step 6: Final answer
    x = 1,500.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.