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Finding the Fourth Proportional to 2,632.40, 3,953.08 and 2,527.76

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Solution

The fourth proportional to 2,632.40, 3,953.08 and 2,527.76 is: 3,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.40 : 3,953.08 = 2,527.76 : x
  2. Step 2: Convert to fraction form
    2,632.40/3,953.08 = 2,527.76/x
  3. Step 3: Cross multiply
    2,632.40x = 3,953.08 × 2,527.76
  4. Step 4: Simplify right side
    2,632.40x = 9,992,437.50
  5. Step 5: Solve for x
    x = 9,992,437.50/2,632.40
  6. Step 6: Final answer
    x = 3,795.94

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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.