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Finding the Fourth Proportional to 2,497.84, 3,747.06 and 1,037.98

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Solution

The fourth proportional to 2,497.84, 3,747.06 and 1,037.98 is: 1,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.84 : 3,747.06 = 1,037.98 : x
  2. Step 2: Convert to fraction form
    2,497.84/3,747.06 = 1,037.98/x
  3. Step 3: Cross multiply
    2,497.84x = 3,747.06 × 1,037.98
  4. Step 4: Simplify right side
    2,497.84x = 3,889,373.34
  5. Step 5: Solve for x
    x = 3,889,373.34/2,497.84
  6. Step 6: Final answer
    x = 1,557.09

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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.