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Finding the Fourth Proportional to 2,802.32, 3,867.47 and 1,683.30

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Solution

The fourth proportional to 2,802.32, 3,867.47 and 1,683.30 is: 2,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.32 : 3,867.47 = 1,683.30 : x
  2. Step 2: Convert to fraction form
    2,802.32/3,867.47 = 1,683.30/x
  3. Step 3: Cross multiply
    2,802.32x = 3,867.47 × 1,683.30
  4. Step 4: Simplify right side
    2,802.32x = 6,510,112.25
  5. Step 5: Solve for x
    x = 6,510,112.25/2,802.32
  6. Step 6: Final answer
    x = 2,323.12

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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.