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Finding the Fourth Proportional to 2,074.19, 3,111.58 and 758.00

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Solution

The fourth proportional to 2,074.19, 3,111.58 and 758.00 is: 1,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.19 : 3,111.58 = 758.00 : x
  2. Step 2: Convert to fraction form
    2,074.19/3,111.58 = 758.00/x
  3. Step 3: Cross multiply
    2,074.19x = 3,111.58 × 758.00
  4. Step 4: Simplify right side
    2,074.19x = 2,358,586.37
  5. Step 5: Solve for x
    x = 2,358,586.37/2,074.19
  6. Step 6: Final answer
    x = 1,137.11

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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.