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Finding the Fourth Proportional to 4,763.50, 7,148.49 and 1,685.50

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Solution

The fourth proportional to 4,763.50, 7,148.49 and 1,685.50 is: 2,529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.50 : 7,148.49 = 1,685.50 : x
  2. Step 2: Convert to fraction form
    4,763.50/7,148.49 = 1,685.50/x
  3. Step 3: Cross multiply
    4,763.50x = 7,148.49 × 1,685.50
  4. Step 4: Simplify right side
    4,763.50x = 12,048,779.90
  5. Step 5: Solve for x
    x = 12,048,779.90/4,763.50
  6. Step 6: Final answer
    x = 2,529.40

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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.