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Finding the Fourth Proportional to 2,088.46, 3,132.69 and 790.03

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Solution

The fourth proportional to 2,088.46, 3,132.69 and 790.03 is: 1,185.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.46 : 3,132.69 = 790.03 : x
  2. Step 2: Convert to fraction form
    2,088.46/3,132.69 = 790.03/x
  3. Step 3: Cross multiply
    2,088.46x = 3,132.69 × 790.03
  4. Step 4: Simplify right side
    2,088.46x = 2,474,919.08
  5. Step 5: Solve for x
    x = 2,474,919.08/2,088.46
  6. Step 6: Final answer
    x = 1,185.05

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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.