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Finding the Fourth Proportional to 3,094.50, 4,643.10 and 1,146.18

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Solution

The fourth proportional to 3,094.50, 4,643.10 and 1,146.18 is: 1,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.50 : 4,643.10 = 1,146.18 : x
  2. Step 2: Convert to fraction form
    3,094.50/4,643.10 = 1,146.18/x
  3. Step 3: Cross multiply
    3,094.50x = 4,643.10 × 1,146.18
  4. Step 4: Simplify right side
    3,094.50x = 5,321,828.36
  5. Step 5: Solve for x
    x = 5,321,828.36/3,094.50
  6. Step 6: Final answer
    x = 1,719.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.