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Finding the Fourth Proportional to 2,332.94, 3,222.52 and 1,742.45

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Solution

The fourth proportional to 2,332.94, 3,222.52 and 1,742.45 is: 2,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.94 : 3,222.52 = 1,742.45 : x
  2. Step 2: Convert to fraction form
    2,332.94/3,222.52 = 1,742.45/x
  3. Step 3: Cross multiply
    2,332.94x = 3,222.52 × 1,742.45
  4. Step 4: Simplify right side
    2,332.94x = 5,615,059.51
  5. Step 5: Solve for x
    x = 5,615,059.51/2,332.94
  6. Step 6: Final answer
    x = 2,406.86

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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.