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Finding the Fourth Proportional to 3,038.11, 4,557.16 and 846.84

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Solution

The fourth proportional to 3,038.11, 4,557.16 and 846.84 is: 1,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.11 : 4,557.16 = 846.84 : x
  2. Step 2: Convert to fraction form
    3,038.11/4,557.16 = 846.84/x
  3. Step 3: Cross multiply
    3,038.11x = 4,557.16 × 846.84
  4. Step 4: Simplify right side
    3,038.11x = 3,859,185.37
  5. Step 5: Solve for x
    x = 3,859,185.37/3,038.11
  6. Step 6: Final answer
    x = 1,270.26

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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.