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Finding the Fourth Proportional to 3,068.50, 4,602.75 and 760

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Solution

The fourth proportional to 3,068.50, 4,602.75 and 760 is: 1,140

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.50 : 4,602.75 = 760 : x
  2. Step 2: Convert to fraction form
    3,068.50/4,602.75 = 760/x
  3. Step 3: Cross multiply
    3,068.50x = 4,602.75 × 760
  4. Step 4: Simplify right side
    3,068.50x = 3,498,090
  5. Step 5: Solve for x
    x = 3,498,090/3,068.50
  6. Step 6: Final answer
    x = 1,140

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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.