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Finding the Fourth Proportional to 3,036.47, 4,554.96 and 845.22

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Solution

The fourth proportional to 3,036.47, 4,554.96 and 845.22 is: 1,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.47 : 4,554.96 = 845.22 : x
  2. Step 2: Convert to fraction form
    3,036.47/4,554.96 = 845.22/x
  3. Step 3: Cross multiply
    3,036.47x = 4,554.96 × 845.22
  4. Step 4: Simplify right side
    3,036.47x = 3,849,943.29
  5. Step 5: Solve for x
    x = 3,849,943.29/3,036.47
  6. Step 6: Final answer
    x = 1,267.90

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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.