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Finding the Fourth Proportional to 2,378.42, 3,566.68 and 916.64

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Solution

The fourth proportional to 2,378.42, 3,566.68 and 916.64 is: 1,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.42 : 3,566.68 = 916.64 : x
  2. Step 2: Convert to fraction form
    2,378.42/3,566.68 = 916.64/x
  3. Step 3: Cross multiply
    2,378.42x = 3,566.68 × 916.64
  4. Step 4: Simplify right side
    2,378.42x = 3,269,341.43
  5. Step 5: Solve for x
    x = 3,269,341.43/2,378.42
  6. Step 6: Final answer
    x = 1,374.59

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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.