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Finding the Fourth Proportional to 2,111.85, 2,913.15 and 1,482.12

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Solution

The fourth proportional to 2,111.85, 2,913.15 and 1,482.12 is: 2,044.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.85 : 2,913.15 = 1,482.12 : x
  2. Step 2: Convert to fraction form
    2,111.85/2,913.15 = 1,482.12/x
  3. Step 3: Cross multiply
    2,111.85x = 2,913.15 × 1,482.12
  4. Step 4: Simplify right side
    2,111.85x = 4,317,637.88
  5. Step 5: Solve for x
    x = 4,317,637.88/2,111.85
  6. Step 6: Final answer
    x = 2,044.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.