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Finding the Fourth Proportional to 3,065.31, 4,598.33 and 984.60

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Solution

The fourth proportional to 3,065.31, 4,598.33 and 984.60 is: 1,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.31 : 4,598.33 = 984.60 : x
  2. Step 2: Convert to fraction form
    3,065.31/4,598.33 = 984.60/x
  3. Step 3: Cross multiply
    3,065.31x = 4,598.33 × 984.60
  4. Step 4: Simplify right side
    3,065.31x = 4,527,510.80
  5. Step 5: Solve for x
    x = 4,527,510.80/3,065.31
  6. Step 6: Final answer
    x = 1,477.02

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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.