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Finding the Fourth Proportional to 1,728.42, 2,378.00 and 1,507.91

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Solution

The fourth proportional to 1,728.42, 2,378.00 and 1,507.91 is: 2,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.42 : 2,378.00 = 1,507.91 : x
  2. Step 2: Convert to fraction form
    1,728.42/2,378.00 = 1,507.91/x
  3. Step 3: Cross multiply
    1,728.42x = 2,378.00 × 1,507.91
  4. Step 4: Simplify right side
    1,728.42x = 3,585,790.55
  5. Step 5: Solve for x
    x = 3,585,790.55/1,728.42
  6. Step 6: Final answer
    x = 2,074.61

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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.