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Finding the Fourth Proportional to 2,064.16, 3,096.37 and 603.19

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Solution

The fourth proportional to 2,064.16, 3,096.37 and 603.19 is: 904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.16 : 3,096.37 = 603.19 : x
  2. Step 2: Convert to fraction form
    2,064.16/3,096.37 = 603.19/x
  3. Step 3: Cross multiply
    2,064.16x = 3,096.37 × 603.19
  4. Step 4: Simplify right side
    2,064.16x = 1,867,699.42
  5. Step 5: Solve for x
    x = 1,867,699.42/2,064.16
  6. Step 6: Final answer
    x = 904.82

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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.