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Finding the Fourth Proportional to 2,378.03, 3,564.90 and 916.83

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Solution

The fourth proportional to 2,378.03, 3,564.90 and 916.83 is: 1,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.03 : 3,564.90 = 916.83 : x
  2. Step 2: Convert to fraction form
    2,378.03/3,564.90 = 916.83/x
  3. Step 3: Cross multiply
    2,378.03x = 3,564.90 × 916.83
  4. Step 4: Simplify right side
    2,378.03x = 3,268,407.27
  5. Step 5: Solve for x
    x = 3,268,407.27/2,378.03
  6. Step 6: Final answer
    x = 1,374.42

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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.