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Finding the Fourth Proportional to 3,070.86, 4,605.36 and 1,428.78

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Solution

The fourth proportional to 3,070.86, 4,605.36 and 1,428.78 is: 2,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.86 : 4,605.36 = 1,428.78 : x
  2. Step 2: Convert to fraction form
    3,070.86/4,605.36 = 1,428.78/x
  3. Step 3: Cross multiply
    3,070.86x = 4,605.36 × 1,428.78
  4. Step 4: Simplify right side
    3,070.86x = 6,580,046.26
  5. Step 5: Solve for x
    x = 6,580,046.26/3,070.86
  6. Step 6: Final answer
    x = 2,142.74

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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.