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Finding the Fourth Proportional to 1,482.50, 2,223.72 and 386.84

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Solution

The fourth proportional to 1,482.50, 2,223.72 and 386.84 is: 580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.50 : 2,223.72 = 386.84 : x
  2. Step 2: Convert to fraction form
    1,482.50/2,223.72 = 386.84/x
  3. Step 3: Cross multiply
    1,482.50x = 2,223.72 × 386.84
  4. Step 4: Simplify right side
    1,482.50x = 860,229.40
  5. Step 5: Solve for x
    x = 860,229.40/1,482.50
  6. Step 6: Final answer
    x = 580.25

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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.