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Finding the Fourth Proportional to 2,074.29, 2,859.75 and 1,483.80

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Solution

The fourth proportional to 2,074.29, 2,859.75 and 1,483.80 is: 2,045.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.29 : 2,859.75 = 1,483.80 : x
  2. Step 2: Convert to fraction form
    2,074.29/2,859.75 = 1,483.80/x
  3. Step 3: Cross multiply
    2,074.29x = 2,859.75 × 1,483.80
  4. Step 4: Simplify right side
    2,074.29x = 4,243,297.05
  5. Step 5: Solve for x
    x = 4,243,297.05/2,074.29
  6. Step 6: Final answer
    x = 2,045.66

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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.