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Finding the Fourth Proportional to 2,790.04, 4,185.22 and 916.05

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Solution

The fourth proportional to 2,790.04, 4,185.22 and 916.05 is: 1,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.04 : 4,185.22 = 916.05 : x
  2. Step 2: Convert to fraction form
    2,790.04/4,185.22 = 916.05/x
  3. Step 3: Cross multiply
    2,790.04x = 4,185.22 × 916.05
  4. Step 4: Simplify right side
    2,790.04x = 3,833,874.13
  5. Step 5: Solve for x
    x = 3,833,874.13/2,790.04
  6. Step 6: Final answer
    x = 1,374.13

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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.