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Finding the Fourth Proportional to 3,065.40, 4,597.85 and 984.84

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Solution

The fourth proportional to 3,065.40, 4,597.85 and 984.84 is: 1,477.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.40 : 4,597.85 = 984.84 : x
  2. Step 2: Convert to fraction form
    3,065.40/4,597.85 = 984.84/x
  3. Step 3: Cross multiply
    3,065.40x = 4,597.85 × 984.84
  4. Step 4: Simplify right side
    3,065.40x = 4,528,141.67
  5. Step 5: Solve for x
    x = 4,528,141.67/3,065.40
  6. Step 6: Final answer
    x = 1,477.18

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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.