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Finding the Fourth Proportional to 3,038.10, 4,556.63 and 846.84

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Solution

The fourth proportional to 3,038.10, 4,556.63 and 846.84 is: 1,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.10 : 4,556.63 = 846.84 : x
  2. Step 2: Convert to fraction form
    3,038.10/4,556.63 = 846.84/x
  3. Step 3: Cross multiply
    3,038.10x = 4,556.63 × 846.84
  4. Step 4: Simplify right side
    3,038.10x = 3,858,732.32
  5. Step 5: Solve for x
    x = 3,858,732.32/3,038.10
  6. Step 6: Final answer
    x = 1,270.11

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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.