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Finding the Fourth Proportional to 3,057.86, 4,586.39 and 977.69

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Solution

The fourth proportional to 3,057.86, 4,586.39 and 977.69 is: 1,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.86 : 4,586.39 = 977.69 : x
  2. Step 2: Convert to fraction form
    3,057.86/4,586.39 = 977.69/x
  3. Step 3: Cross multiply
    3,057.86x = 4,586.39 × 977.69
  4. Step 4: Simplify right side
    3,057.86x = 4,484,057.58
  5. Step 5: Solve for x
    x = 4,484,057.58/3,057.86
  6. Step 6: Final answer
    x = 1,466.41

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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.