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Finding the Fourth Proportional to 2,683.46, 3,701.01 and 2,368.94

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Solution

The fourth proportional to 2,683.46, 3,701.01 and 2,368.94 is: 3,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.46 : 3,701.01 = 2,368.94 : x
  2. Step 2: Convert to fraction form
    2,683.46/3,701.01 = 2,368.94/x
  3. Step 3: Cross multiply
    2,683.46x = 3,701.01 × 2,368.94
  4. Step 4: Simplify right side
    2,683.46x = 8,767,470.63
  5. Step 5: Solve for x
    x = 8,767,470.63/2,683.46
  6. Step 6: Final answer
    x = 3,267.23

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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.