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Finding the Fourth Proportional to 2,603.50, 3,903.08 and 1,216.12

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Solution

The fourth proportional to 2,603.50, 3,903.08 and 1,216.12 is: 1,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.50 : 3,903.08 = 1,216.12 : x
  2. Step 2: Convert to fraction form
    2,603.50/3,903.08 = 1,216.12/x
  3. Step 3: Cross multiply
    2,603.50x = 3,903.08 × 1,216.12
  4. Step 4: Simplify right side
    2,603.50x = 4,746,613.65
  5. Step 5: Solve for x
    x = 4,746,613.65/2,603.50
  6. Step 6: Final answer
    x = 1,823.17

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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.