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Finding the Fourth Proportional to 4,313.58, 6,464.50 and 1,970.67

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Solution

The fourth proportional to 4,313.58, 6,464.50 and 1,970.67 is: 2,953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.58 : 6,464.50 = 1,970.67 : x
  2. Step 2: Convert to fraction form
    4,313.58/6,464.50 = 1,970.67/x
  3. Step 3: Cross multiply
    4,313.58x = 6,464.50 × 1,970.67
  4. Step 4: Simplify right side
    4,313.58x = 12,739,396.22
  5. Step 5: Solve for x
    x = 12,739,396.22/4,313.58
  6. Step 6: Final answer
    x = 2,953.32

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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.