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Finding the Fourth Proportional to 2,730.51, 4,095.19 and 782.28

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Solution

The fourth proportional to 2,730.51, 4,095.19 and 782.28 is: 1,173.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.51 : 4,095.19 = 782.28 : x
  2. Step 2: Convert to fraction form
    2,730.51/4,095.19 = 782.28/x
  3. Step 3: Cross multiply
    2,730.51x = 4,095.19 × 782.28
  4. Step 4: Simplify right side
    2,730.51x = 3,203,585.23
  5. Step 5: Solve for x
    x = 3,203,585.23/2,730.51
  6. Step 6: Final answer
    x = 1,173.26

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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.