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Finding the Fourth Proportional to 2,704.61, 4,037.36 and 2,376.56

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Solution

The fourth proportional to 2,704.61, 4,037.36 and 2,376.56 is: 3,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.61 : 4,037.36 = 2,376.56 : x
  2. Step 2: Convert to fraction form
    2,704.61/4,037.36 = 2,376.56/x
  3. Step 3: Cross multiply
    2,704.61x = 4,037.36 × 2,376.56
  4. Step 4: Simplify right side
    2,704.61x = 9,595,026.49
  5. Step 5: Solve for x
    x = 9,595,026.49/2,704.61
  6. Step 6: Final answer
    x = 3,547.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.