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Finding the Fourth Proportional to 2,012.03, 3,018.35 and 916.40

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Solution

The fourth proportional to 2,012.03, 3,018.35 and 916.40 is: 1,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.03 : 3,018.35 = 916.40 : x
  2. Step 2: Convert to fraction form
    2,012.03/3,018.35 = 916.40/x
  3. Step 3: Cross multiply
    2,012.03x = 3,018.35 × 916.40
  4. Step 4: Simplify right side
    2,012.03x = 2,766,015.94
  5. Step 5: Solve for x
    x = 2,766,015.94/2,012.03
  6. Step 6: Final answer
    x = 1,374.74

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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.