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Finding the Fourth Proportional to 2,802.51, 3,867.32 and 1,683.23

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Solution

The fourth proportional to 2,802.51, 3,867.32 and 1,683.23 is: 2,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.51 : 3,867.32 = 1,683.23 : x
  2. Step 2: Convert to fraction form
    2,802.51/3,867.32 = 1,683.23/x
  3. Step 3: Cross multiply
    2,802.51x = 3,867.32 × 1,683.23
  4. Step 4: Simplify right side
    2,802.51x = 6,509,573.92
  5. Step 5: Solve for x
    x = 6,509,573.92/2,802.51
  6. Step 6: Final answer
    x = 2,322.77

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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.