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Finding the Fourth Proportional to 2,482.17, 3,715.49 and 1,603.50

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Solution

The fourth proportional to 2,482.17, 3,715.49 and 1,603.50 is: 2,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.17 : 3,715.49 = 1,603.50 : x
  2. Step 2: Convert to fraction form
    2,482.17/3,715.49 = 1,603.50/x
  3. Step 3: Cross multiply
    2,482.17x = 3,715.49 × 1,603.50
  4. Step 4: Simplify right side
    2,482.17x = 5,957,780.20
  5. Step 5: Solve for x
    x = 5,957,780.20/2,482.17
  6. Step 6: Final answer
    x = 2,400.23

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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.