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Finding the Fourth Proportional to 2,148.03, 3,222.09 and 916.02

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Solution

The fourth proportional to 2,148.03, 3,222.09 and 916.02 is: 1,374.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.03 : 3,222.09 = 916.02 : x
  2. Step 2: Convert to fraction form
    2,148.03/3,222.09 = 916.02/x
  3. Step 3: Cross multiply
    2,148.03x = 3,222.09 × 916.02
  4. Step 4: Simplify right side
    2,148.03x = 2,951,498.88
  5. Step 5: Solve for x
    x = 2,951,498.88/2,148.03
  6. Step 6: Final answer
    x = 1,374.05

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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.