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Finding the Fourth Proportional to 2,683.34, 4,020 and 1,584.44

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Solution

The fourth proportional to 2,683.34, 4,020 and 1,584.44 is: 2,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.34 : 4,020 = 1,584.44 : x
  2. Step 2: Convert to fraction form
    2,683.34/4,020 = 1,584.44/x
  3. Step 3: Cross multiply
    2,683.34x = 4,020 × 1,584.44
  4. Step 4: Simplify right side
    2,683.34x = 6,369,448.80
  5. Step 5: Solve for x
    x = 6,369,448.80/2,683.34
  6. Step 6: Final answer
    x = 2,373.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.