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Finding the Fourth Proportional to 1,684.17, 2,323.74 and 1,021.23

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Solution

The fourth proportional to 1,684.17, 2,323.74 and 1,021.23 is: 1,409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.17 : 2,323.74 = 1,021.23 : x
  2. Step 2: Convert to fraction form
    1,684.17/2,323.74 = 1,021.23/x
  3. Step 3: Cross multiply
    1,684.17x = 2,323.74 × 1,021.23
  4. Step 4: Simplify right side
    1,684.17x = 2,373,073.00
  5. Step 5: Solve for x
    x = 2,373,073.00/1,684.17
  6. Step 6: Final answer
    x = 1,409.05

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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.