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Finding the Fourth Proportional to 2,359.50, 3,256.86 and 2,110.38

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Solution

The fourth proportional to 2,359.50, 3,256.86 and 2,110.38 is: 2,913.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.50 : 3,256.86 = 2,110.38 : x
  2. Step 2: Convert to fraction form
    2,359.50/3,256.86 = 2,110.38/x
  3. Step 3: Cross multiply
    2,359.50x = 3,256.86 × 2,110.38
  4. Step 4: Simplify right side
    2,359.50x = 6,873,212.21
  5. Step 5: Solve for x
    x = 6,873,212.21/2,359.50
  6. Step 6: Final answer
    x = 2,913.00

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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.