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Finding the Fourth Proportional to 4,340.94, 6,510.74 and 1,419.23

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Solution

The fourth proportional to 4,340.94, 6,510.74 and 1,419.23 is: 2,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.94 : 6,510.74 = 1,419.23 : x
  2. Step 2: Convert to fraction form
    4,340.94/6,510.74 = 1,419.23/x
  3. Step 3: Cross multiply
    4,340.94x = 6,510.74 × 1,419.23
  4. Step 4: Simplify right side
    4,340.94x = 9,240,197.88
  5. Step 5: Solve for x
    x = 9,240,197.88/4,340.94
  6. Step 6: Final answer
    x = 2,128.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.