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Finding the Fourth Proportional to 2,527.16, 3,790.26 and 1,602.68

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Solution

The fourth proportional to 2,527.16, 3,790.26 and 1,602.68 is: 2,403.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.16 : 3,790.26 = 1,602.68 : x
  2. Step 2: Convert to fraction form
    2,527.16/3,790.26 = 1,602.68/x
  3. Step 3: Cross multiply
    2,527.16x = 3,790.26 × 1,602.68
  4. Step 4: Simplify right side
    2,527.16x = 6,074,573.90
  5. Step 5: Solve for x
    x = 6,074,573.90/2,527.16
  6. Step 6: Final answer
    x = 2,403.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.