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Finding the Fourth Proportional to 1,424.30, 1,965.90 and 1,276.67

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Solution

The fourth proportional to 1,424.30, 1,965.90 and 1,276.67 is: 1,762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.30 : 1,965.90 = 1,276.67 : x
  2. Step 2: Convert to fraction form
    1,424.30/1,965.90 = 1,276.67/x
  3. Step 3: Cross multiply
    1,424.30x = 1,965.90 × 1,276.67
  4. Step 4: Simplify right side
    1,424.30x = 2,509,795.72
  5. Step 5: Solve for x
    x = 2,509,795.72/1,424.30
  6. Step 6: Final answer
    x = 1,762.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.