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Finding the Fourth Proportional to 2,074.53, 2,862.86 and 1,130.33

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Solution

The fourth proportional to 2,074.53, 2,862.86 and 1,130.33 is: 1,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.53 : 2,862.86 = 1,130.33 : x
  2. Step 2: Convert to fraction form
    2,074.53/2,862.86 = 1,130.33/x
  3. Step 3: Cross multiply
    2,074.53x = 2,862.86 × 1,130.33
  4. Step 4: Simplify right side
    2,074.53x = 3,235,956.58
  5. Step 5: Solve for x
    x = 3,235,956.58/2,074.53
  6. Step 6: Final answer
    x = 1,559.85

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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.