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Finding the Fourth Proportional to 3,073.34, 4,607.65 and 1,428.69

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Solution

The fourth proportional to 3,073.34, 4,607.65 and 1,428.69 is: 2,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.34 : 4,607.65 = 1,428.69 : x
  2. Step 2: Convert to fraction form
    3,073.34/4,607.65 = 1,428.69/x
  3. Step 3: Cross multiply
    3,073.34x = 4,607.65 × 1,428.69
  4. Step 4: Simplify right side
    3,073.34x = 6,582,903.48
  5. Step 5: Solve for x
    x = 6,582,903.48/3,073.34
  6. Step 6: Final answer
    x = 2,141.94

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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.