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Finding the Fourth Proportional to 2,497.95, 3,747.33 and 1,017.50

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Solution

The fourth proportional to 2,497.95, 3,747.33 and 1,017.50 is: 1,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.95 : 3,747.33 = 1,017.50 : x
  2. Step 2: Convert to fraction form
    2,497.95/3,747.33 = 1,017.50/x
  3. Step 3: Cross multiply
    2,497.95x = 3,747.33 × 1,017.50
  4. Step 4: Simplify right side
    2,497.95x = 3,812,889.54
  5. Step 5: Solve for x
    x = 3,812,889.54/2,497.95
  6. Step 6: Final answer
    x = 1,526.41

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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.