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Finding the Fourth Proportional to 4,656.48, 6,984.79 and 1,146.49

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Solution

The fourth proportional to 4,656.48, 6,984.79 and 1,146.49 is: 1,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.48 : 6,984.79 = 1,146.49 : x
  2. Step 2: Convert to fraction form
    4,656.48/6,984.79 = 1,146.49/x
  3. Step 3: Cross multiply
    4,656.48x = 6,984.79 × 1,146.49
  4. Step 4: Simplify right side
    4,656.48x = 8,007,991.89
  5. Step 5: Solve for x
    x = 8,007,991.89/4,656.48
  6. Step 6: Final answer
    x = 1,719.75

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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.