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Finding the Fourth Proportional to 2,155.77, 2,975.81 and 1,527.21

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Solution

The fourth proportional to 2,155.77, 2,975.81 and 1,527.21 is: 2,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.77 : 2,975.81 = 1,527.21 : x
  2. Step 2: Convert to fraction form
    2,155.77/2,975.81 = 1,527.21/x
  3. Step 3: Cross multiply
    2,155.77x = 2,975.81 × 1,527.21
  4. Step 4: Simplify right side
    2,155.77x = 4,544,679.15
  5. Step 5: Solve for x
    x = 4,544,679.15/2,155.77
  6. Step 6: Final answer
    x = 2,108.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.