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Finding the Fourth Proportional to 3,070.94, 4,607.31 and 1,428.86

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Solution

The fourth proportional to 3,070.94, 4,607.31 and 1,428.86 is: 2,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.94 : 4,607.31 = 1,428.86 : x
  2. Step 2: Convert to fraction form
    3,070.94/4,607.31 = 1,428.86/x
  3. Step 3: Cross multiply
    3,070.94x = 4,607.31 × 1,428.86
  4. Step 4: Simplify right side
    3,070.94x = 6,583,217.84
  5. Step 5: Solve for x
    x = 6,583,217.84/3,070.94
  6. Step 6: Final answer
    x = 2,143.72

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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.