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Finding the Fourth Proportional to 2,559.63, 3,838.89 and 999.14

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Solution

The fourth proportional to 2,559.63, 3,838.89 and 999.14 is: 1,498.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.63 : 3,838.89 = 999.14 : x
  2. Step 2: Convert to fraction form
    2,559.63/3,838.89 = 999.14/x
  3. Step 3: Cross multiply
    2,559.63x = 3,838.89 × 999.14
  4. Step 4: Simplify right side
    2,559.63x = 3,835,573.11
  5. Step 5: Solve for x
    x = 3,835,573.11/2,559.63
  6. Step 6: Final answer
    x = 1,498.49

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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.