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Finding the Fourth Proportional to 2,110.51, 2,912.79 and 1,585.63

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Solution

The fourth proportional to 2,110.51, 2,912.79 and 1,585.63 is: 2,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.51 : 2,912.79 = 1,585.63 : x
  2. Step 2: Convert to fraction form
    2,110.51/2,912.79 = 1,585.63/x
  3. Step 3: Cross multiply
    2,110.51x = 2,912.79 × 1,585.63
  4. Step 4: Simplify right side
    2,110.51x = 4,618,607.21
  5. Step 5: Solve for x
    x = 4,618,607.21/2,110.51
  6. Step 6: Final answer
    x = 2,188.38

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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.