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Finding the Fourth Proportional to 2,696.56, 4,037.02 and 1,653.41

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Solution

The fourth proportional to 2,696.56, 4,037.02 and 1,653.41 is: 2,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.56 : 4,037.02 = 1,653.41 : x
  2. Step 2: Convert to fraction form
    2,696.56/4,037.02 = 1,653.41/x
  3. Step 3: Cross multiply
    2,696.56x = 4,037.02 × 1,653.41
  4. Step 4: Simplify right side
    2,696.56x = 6,674,849.24
  5. Step 5: Solve for x
    x = 6,674,849.24/2,696.56
  6. Step 6: Final answer
    x = 2,475.32

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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.