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Finding the Fourth Proportional to 1,683.11, 2,322.82 and 975.15

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Solution

The fourth proportional to 1,683.11, 2,322.82 and 975.15 is: 1,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.11 : 2,322.82 = 975.15 : x
  2. Step 2: Convert to fraction form
    1,683.11/2,322.82 = 975.15/x
  3. Step 3: Cross multiply
    1,683.11x = 2,322.82 × 975.15
  4. Step 4: Simplify right side
    1,683.11x = 2,265,081.43
  5. Step 5: Solve for x
    x = 2,265,081.43/1,683.11
  6. Step 6: Final answer
    x = 1,345.77

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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.