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Finding the Fourth Proportional to 1,686.01, 2,323.17 and 1,569.22

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Solution

The fourth proportional to 1,686.01, 2,323.17 and 1,569.22 is: 2,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.01 : 2,323.17 = 1,569.22 : x
  2. Step 2: Convert to fraction form
    1,686.01/2,323.17 = 1,569.22/x
  3. Step 3: Cross multiply
    1,686.01x = 2,323.17 × 1,569.22
  4. Step 4: Simplify right side
    1,686.01x = 3,645,564.83
  5. Step 5: Solve for x
    x = 3,645,564.83/1,686.01
  6. Step 6: Final answer
    x = 2,162.24

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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.