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Finding the Fourth Proportional to 1,688.08, 2,329.31 and 941.94

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Solution

The fourth proportional to 1,688.08, 2,329.31 and 941.94 is: 1,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.08 : 2,329.31 = 941.94 : x
  2. Step 2: Convert to fraction form
    1,688.08/2,329.31 = 941.94/x
  3. Step 3: Cross multiply
    1,688.08x = 2,329.31 × 941.94
  4. Step 4: Simplify right side
    1,688.08x = 2,194,070.26
  5. Step 5: Solve for x
    x = 2,194,070.26/1,688.08
  6. Step 6: Final answer
    x = 1,299.74

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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.