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Finding the Fourth Proportional to 3,655, 5,482.50 and 1,223

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Solution

The fourth proportional to 3,655, 5,482.50 and 1,223 is: 1,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655 : 5,482.50 = 1,223 : x
  2. Step 2: Convert to fraction form
    3,655/5,482.50 = 1,223/x
  3. Step 3: Cross multiply
    3,655x = 5,482.50 × 1,223
  4. Step 4: Simplify right side
    3,655x = 6,705,097.50
  5. Step 5: Solve for x
    x = 6,705,097.50/3,655
  6. Step 6: Final answer
    x = 1,834.50

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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.