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Finding the Fourth Proportional to 2,730.41, 4,095.16 and 782.16

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Solution

The fourth proportional to 2,730.41, 4,095.16 and 782.16 is: 1,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.41 : 4,095.16 = 782.16 : x
  2. Step 2: Convert to fraction form
    2,730.41/4,095.16 = 782.16/x
  3. Step 3: Cross multiply
    2,730.41x = 4,095.16 × 782.16
  4. Step 4: Simplify right side
    2,730.41x = 3,203,053.03
  5. Step 5: Solve for x
    x = 3,203,053.03/2,730.41
  6. Step 6: Final answer
    x = 1,173.10

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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.