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Finding the Fourth Proportional to 4,303.96, 6,455.10 and 1,183.17

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Solution

The fourth proportional to 4,303.96, 6,455.10 and 1,183.17 is: 1,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.96 : 6,455.10 = 1,183.17 : x
  2. Step 2: Convert to fraction form
    4,303.96/6,455.10 = 1,183.17/x
  3. Step 3: Cross multiply
    4,303.96x = 6,455.10 × 1,183.17
  4. Step 4: Simplify right side
    4,303.96x = 7,637,480.67
  5. Step 5: Solve for x
    x = 7,637,480.67/4,303.96
  6. Step 6: Final answer
    x = 1,774.52

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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.