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Finding the Fourth Proportional to 1,684.02, 2,323.83 and 975.87

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Solution

The fourth proportional to 1,684.02, 2,323.83 and 975.87 is: 1,346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.02 : 2,323.83 = 975.87 : x
  2. Step 2: Convert to fraction form
    1,684.02/2,323.83 = 975.87/x
  3. Step 3: Cross multiply
    1,684.02x = 2,323.83 × 975.87
  4. Step 4: Simplify right side
    1,684.02x = 2,267,755.98
  5. Step 5: Solve for x
    x = 2,267,755.98/1,684.02
  6. Step 6: Final answer
    x = 1,346.63

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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.