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Finding the Fourth Proportional to 2,272.66, 3,409.04 and 712.63

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Solution

The fourth proportional to 2,272.66, 3,409.04 and 712.63 is: 1,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.66 : 3,409.04 = 712.63 : x
  2. Step 2: Convert to fraction form
    2,272.66/3,409.04 = 712.63/x
  3. Step 3: Cross multiply
    2,272.66x = 3,409.04 × 712.63
  4. Step 4: Simplify right side
    2,272.66x = 2,429,386.21
  5. Step 5: Solve for x
    x = 2,429,386.21/2,272.66
  6. Step 6: Final answer
    x = 1,068.96

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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.