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Finding the Fourth Proportional to 2,332.81, 3,496.78 and 1,602.60

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Solution

The fourth proportional to 2,332.81, 3,496.78 and 1,602.60 is: 2,402.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.81 : 3,496.78 = 1,602.60 : x
  2. Step 2: Convert to fraction form
    2,332.81/3,496.78 = 1,602.60/x
  3. Step 3: Cross multiply
    2,332.81x = 3,496.78 × 1,602.60
  4. Step 4: Simplify right side
    2,332.81x = 5,603,939.63
  5. Step 5: Solve for x
    x = 5,603,939.63/2,332.81
  6. Step 6: Final answer
    x = 2,402.23

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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.