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Finding the Fourth Proportional to 3,042.84, 4,564.38 and 1,310.28

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Solution

The fourth proportional to 3,042.84, 4,564.38 and 1,310.28 is: 1,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.84 : 4,564.38 = 1,310.28 : x
  2. Step 2: Convert to fraction form
    3,042.84/4,564.38 = 1,310.28/x
  3. Step 3: Cross multiply
    3,042.84x = 4,564.38 × 1,310.28
  4. Step 4: Simplify right side
    3,042.84x = 5,980,615.83
  5. Step 5: Solve for x
    x = 5,980,615.83/3,042.84
  6. Step 6: Final answer
    x = 1,965.47

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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.