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Finding the Fourth Proportional to 2,809.61, 4,223.64 and 2,606.63

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Solution

The fourth proportional to 2,809.61, 4,223.64 and 2,606.63 is: 3,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.61 : 4,223.64 = 2,606.63 : x
  2. Step 2: Convert to fraction form
    2,809.61/4,223.64 = 2,606.63/x
  3. Step 3: Cross multiply
    2,809.61x = 4,223.64 × 2,606.63
  4. Step 4: Simplify right side
    2,809.61x = 11,009,445.62
  5. Step 5: Solve for x
    x = 11,009,445.62/2,809.61
  6. Step 6: Final answer
    x = 3,918.50

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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.