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Finding the Fourth Proportional to 2,455.59, 3,683.63 and 1,156.71

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Solution

The fourth proportional to 2,455.59, 3,683.63 and 1,156.71 is: 1,735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.59 : 3,683.63 = 1,156.71 : x
  2. Step 2: Convert to fraction form
    2,455.59/3,683.63 = 1,156.71/x
  3. Step 3: Cross multiply
    2,455.59x = 3,683.63 × 1,156.71
  4. Step 4: Simplify right side
    2,455.59x = 4,260,885.87
  5. Step 5: Solve for x
    x = 4,260,885.87/2,455.59
  6. Step 6: Final answer
    x = 1,735.18

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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.