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Finding the Fourth Proportional to 2,150.58, 3,225.93 and 916.27

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Solution

The fourth proportional to 2,150.58, 3,225.93 and 916.27 is: 1,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.58 : 3,225.93 = 916.27 : x
  2. Step 2: Convert to fraction form
    2,150.58/3,225.93 = 916.27/x
  3. Step 3: Cross multiply
    2,150.58x = 3,225.93 × 916.27
  4. Step 4: Simplify right side
    2,150.58x = 2,955,822.88
  5. Step 5: Solve for x
    x = 2,955,822.88/2,150.58
  6. Step 6: Final answer
    x = 1,374.43

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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.