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Finding the Fourth Proportional to 1,661.51, 2,292.63 and 1,032.06

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Solution

The fourth proportional to 1,661.51, 2,292.63 and 1,032.06 is: 1,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.51 : 2,292.63 = 1,032.06 : x
  2. Step 2: Convert to fraction form
    1,661.51/2,292.63 = 1,032.06/x
  3. Step 3: Cross multiply
    1,661.51x = 2,292.63 × 1,032.06
  4. Step 4: Simplify right side
    1,661.51x = 2,366,131.72
  5. Step 5: Solve for x
    x = 2,366,131.72/1,661.51
  6. Step 6: Final answer
    x = 1,424.09

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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.