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Finding the Fourth Proportional to 1,683.17, 2,322.84 and 1,402.93

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Solution

The fourth proportional to 1,683.17, 2,322.84 and 1,402.93 is: 1,936.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.17 : 2,322.84 = 1,402.93 : x
  2. Step 2: Convert to fraction form
    1,683.17/2,322.84 = 1,402.93/x
  3. Step 3: Cross multiply
    1,683.17x = 2,322.84 × 1,402.93
  4. Step 4: Simplify right side
    1,683.17x = 3,258,790.09
  5. Step 5: Solve for x
    x = 3,258,790.09/1,683.17
  6. Step 6: Final answer
    x = 1,936.10

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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.