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Finding the Fourth Proportional to 2,527.76, 3,790.38 and 1,602.62

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Solution

The fourth proportional to 2,527.76, 3,790.38 and 1,602.62 is: 2,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.76 : 3,790.38 = 1,602.62 : x
  2. Step 2: Convert to fraction form
    2,527.76/3,790.38 = 1,602.62/x
  3. Step 3: Cross multiply
    2,527.76x = 3,790.38 × 1,602.62
  4. Step 4: Simplify right side
    2,527.76x = 6,074,538.80
  5. Step 5: Solve for x
    x = 6,074,538.80/2,527.76
  6. Step 6: Final answer
    x = 2,403.13

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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.