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Finding the Fourth Proportional to 2,478.71, 3,421.22 and 1,683.36

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Solution

The fourth proportional to 2,478.71, 3,421.22 and 1,683.36 is: 2,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.71 : 3,421.22 = 1,683.36 : x
  2. Step 2: Convert to fraction form
    2,478.71/3,421.22 = 1,683.36/x
  3. Step 3: Cross multiply
    2,478.71x = 3,421.22 × 1,683.36
  4. Step 4: Simplify right side
    2,478.71x = 5,759,153.45
  5. Step 5: Solve for x
    x = 5,759,153.45/2,478.71
  6. Step 6: Final answer
    x = 2,323.45

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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.