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Finding the Fourth Proportional to 1,328.01, 1,824.71 and 1,242.69

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Solution

The fourth proportional to 1,328.01, 1,824.71 and 1,242.69 is: 1,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.01 : 1,824.71 = 1,242.69 : x
  2. Step 2: Convert to fraction form
    1,328.01/1,824.71 = 1,242.69/x
  3. Step 3: Cross multiply
    1,328.01x = 1,824.71 × 1,242.69
  4. Step 4: Simplify right side
    1,328.01x = 2,267,548.87
  5. Step 5: Solve for x
    x = 2,267,548.87/1,328.01
  6. Step 6: Final answer
    x = 1,707.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.