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Finding the Fourth Proportional to 3,036.96, 4,554.68 and 845.12

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Solution

The fourth proportional to 3,036.96, 4,554.68 and 845.12 is: 1,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.96 : 4,554.68 = 845.12 : x
  2. Step 2: Convert to fraction form
    3,036.96/4,554.68 = 845.12/x
  3. Step 3: Cross multiply
    3,036.96x = 4,554.68 × 845.12
  4. Step 4: Simplify right side
    3,036.96x = 3,849,251.16
  5. Step 5: Solve for x
    x = 3,849,251.16/3,036.96
  6. Step 6: Final answer
    x = 1,267.47

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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.