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Finding the Fourth Proportional to 3,095.85, 4,644.18 and 904.54

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Solution

The fourth proportional to 3,095.85, 4,644.18 and 904.54 is: 1,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.85 : 4,644.18 = 904.54 : x
  2. Step 2: Convert to fraction form
    3,095.85/4,644.18 = 904.54/x
  3. Step 3: Cross multiply
    3,095.85x = 4,644.18 × 904.54
  4. Step 4: Simplify right side
    3,095.85x = 4,200,842.05
  5. Step 5: Solve for x
    x = 4,200,842.05/3,095.85
  6. Step 6: Final answer
    x = 1,356.93

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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.