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Finding the Fourth Proportional to 2,527.58, 3,790.34 and 883.74

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Solution

The fourth proportional to 2,527.58, 3,790.34 and 883.74 is: 1,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.58 : 3,790.34 = 883.74 : x
  2. Step 2: Convert to fraction form
    2,527.58/3,790.34 = 883.74/x
  3. Step 3: Cross multiply
    2,527.58x = 3,790.34 × 883.74
  4. Step 4: Simplify right side
    2,527.58x = 3,349,685.16
  5. Step 5: Solve for x
    x = 3,349,685.16/2,527.58
  6. Step 6: Final answer
    x = 1,325.25

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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.