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Finding the Fourth Proportional to 4,240, 6,362.70 and 1,931.50

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Solution

The fourth proportional to 4,240, 6,362.70 and 1,931.50 is: 2,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,240 : 6,362.70 = 1,931.50 : x
  2. Step 2: Convert to fraction form
    4,240/6,362.70 = 1,931.50/x
  3. Step 3: Cross multiply
    4,240x = 6,362.70 × 1,931.50
  4. Step 4: Simplify right side
    4,240x = 12,289,555.05
  5. Step 5: Solve for x
    x = 12,289,555.05/4,240
  6. Step 6: Final answer
    x = 2,898.48

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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.