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Finding the Fourth Proportional to 2,459.19, 3,684.06 and 1,191

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Solution

The fourth proportional to 2,459.19, 3,684.06 and 1,191 is: 1,784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.19 : 3,684.06 = 1,191 : x
  2. Step 2: Convert to fraction form
    2,459.19/3,684.06 = 1,191/x
  3. Step 3: Cross multiply
    2,459.19x = 3,684.06 × 1,191
  4. Step 4: Simplify right side
    2,459.19x = 4,387,715.46
  5. Step 5: Solve for x
    x = 4,387,715.46/2,459.19
  6. Step 6: Final answer
    x = 1,784.21

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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.