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Finding the Fourth Proportional to 2,527.46, 3,791.51 and 988.26

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Solution

The fourth proportional to 2,527.46, 3,791.51 and 988.26 is: 1,482.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.46 : 3,791.51 = 988.26 : x
  2. Step 2: Convert to fraction form
    2,527.46/3,791.51 = 988.26/x
  3. Step 3: Cross multiply
    2,527.46x = 3,791.51 × 988.26
  4. Step 4: Simplify right side
    2,527.46x = 3,746,997.67
  5. Step 5: Solve for x
    x = 3,746,997.67/2,527.46
  6. Step 6: Final answer
    x = 1,482.52

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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.