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Finding the Fourth Proportional to 4,510.68, 6,762.84 and 1,735.02

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Solution

The fourth proportional to 4,510.68, 6,762.84 and 1,735.02 is: 2,601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.68 : 6,762.84 = 1,735.02 : x
  2. Step 2: Convert to fraction form
    4,510.68/6,762.84 = 1,735.02/x
  3. Step 3: Cross multiply
    4,510.68x = 6,762.84 × 1,735.02
  4. Step 4: Simplify right side
    4,510.68x = 11,733,662.66
  5. Step 5: Solve for x
    x = 11,733,662.66/4,510.68
  6. Step 6: Final answer
    x = 2,601.31

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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.