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Finding the Fourth Proportional to 2,428.04, 3,642.28 and 966.86

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Solution

The fourth proportional to 2,428.04, 3,642.28 and 966.86 is: 1,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.04 : 3,642.28 = 966.86 : x
  2. Step 2: Convert to fraction form
    2,428.04/3,642.28 = 966.86/x
  3. Step 3: Cross multiply
    2,428.04x = 3,642.28 × 966.86
  4. Step 4: Simplify right side
    2,428.04x = 3,521,574.84
  5. Step 5: Solve for x
    x = 3,521,574.84/2,428.04
  6. Step 6: Final answer
    x = 1,450.38

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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.