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Finding the Fourth Proportional to 2,688.28, 3,709.57 and 2,130.13

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Solution

The fourth proportional to 2,688.28, 3,709.57 and 2,130.13 is: 2,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.28 : 3,709.57 = 2,130.13 : x
  2. Step 2: Convert to fraction form
    2,688.28/3,709.57 = 2,130.13/x
  3. Step 3: Cross multiply
    2,688.28x = 3,709.57 × 2,130.13
  4. Step 4: Simplify right side
    2,688.28x = 7,901,866.34
  5. Step 5: Solve for x
    x = 7,901,866.34/2,688.28
  6. Step 6: Final answer
    x = 2,939.38

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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.