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Finding the Fourth Proportional to 1,683.96, 2,333.70 and 1,660.46

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Solution

The fourth proportional to 1,683.96, 2,333.70 and 1,660.46 is: 2,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.96 : 2,333.70 = 1,660.46 : x
  2. Step 2: Convert to fraction form
    1,683.96/2,333.70 = 1,660.46/x
  3. Step 3: Cross multiply
    1,683.96x = 2,333.70 × 1,660.46
  4. Step 4: Simplify right side
    1,683.96x = 3,875,015.50
  5. Step 5: Solve for x
    x = 3,875,015.50/1,683.96
  6. Step 6: Final answer
    x = 2,301.13

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.