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Finding the Fourth Proportional to 1,661.36, 2,292.34 and 1,040

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Solution

The fourth proportional to 1,661.36, 2,292.34 and 1,040 is: 1,434.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.36 : 2,292.34 = 1,040 : x
  2. Step 2: Convert to fraction form
    1,661.36/2,292.34 = 1,040/x
  3. Step 3: Cross multiply
    1,661.36x = 2,292.34 × 1,040
  4. Step 4: Simplify right side
    1,661.36x = 2,384,033.60
  5. Step 5: Solve for x
    x = 2,384,033.60/1,661.36
  6. Step 6: Final answer
    x = 1,434.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.