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Finding the Fourth Proportional to 2,561.63, 3,838.28 and 999.87

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Solution

The fourth proportional to 2,561.63, 3,838.28 and 999.87 is: 1,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.63 : 3,838.28 = 999.87 : x
  2. Step 2: Convert to fraction form
    2,561.63/3,838.28 = 999.87/x
  3. Step 3: Cross multiply
    2,561.63x = 3,838.28 × 999.87
  4. Step 4: Simplify right side
    2,561.63x = 3,837,783.52
  5. Step 5: Solve for x
    x = 3,837,783.52/2,561.63
  6. Step 6: Final answer
    x = 1,498.18

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