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Finding the Fourth Proportional to 2,632.37, 3,628.37 and 2,417.81

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Solution

The fourth proportional to 2,632.37, 3,628.37 and 2,417.81 is: 3,332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.37 : 3,628.37 = 2,417.81 : x
  2. Step 2: Convert to fraction form
    2,632.37/3,628.37 = 2,417.81/x
  3. Step 3: Cross multiply
    2,632.37x = 3,628.37 × 2,417.81
  4. Step 4: Simplify right side
    2,632.37x = 8,772,697.17
  5. Step 5: Solve for x
    x = 8,772,697.17/2,632.37
  6. Step 6: Final answer
    x = 3,332.63

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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.