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Finding the Fourth Proportional to 2,527.65, 3,790.06 and 1,941.19

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Solution

The fourth proportional to 2,527.65, 3,790.06 and 1,941.19 is: 2,910.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.65 : 3,790.06 = 1,941.19 : x
  2. Step 2: Convert to fraction form
    2,527.65/3,790.06 = 1,941.19/x
  3. Step 3: Cross multiply
    2,527.65x = 3,790.06 × 1,941.19
  4. Step 4: Simplify right side
    2,527.65x = 7,357,212.24
  5. Step 5: Solve for x
    x = 7,357,212.24/2,527.65
  6. Step 6: Final answer
    x = 2,910.69

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1.5x scale

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.