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Finding the Fourth Proportional to 1,688.41, 2,329.81 and 942.31

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Solution

The fourth proportional to 1,688.41, 2,329.81 and 942.31 is: 1,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.41 : 2,329.81 = 942.31 : x
  2. Step 2: Convert to fraction form
    1,688.41/2,329.81 = 942.31/x
  3. Step 3: Cross multiply
    1,688.41x = 2,329.81 × 942.31
  4. Step 4: Simplify right side
    1,688.41x = 2,195,403.26
  5. Step 5: Solve for x
    x = 2,195,403.26/1,688.41
  6. Step 6: Final answer
    x = 1,300.28

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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.