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Finding the Fourth Proportional to 2,730.35, 4,095.30 and 975.27

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Solution

The fourth proportional to 2,730.35, 4,095.30 and 975.27 is: 1,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.35 : 4,095.30 = 975.27 : x
  2. Step 2: Convert to fraction form
    2,730.35/4,095.30 = 975.27/x
  3. Step 3: Cross multiply
    2,730.35x = 4,095.30 × 975.27
  4. Step 4: Simplify right side
    2,730.35x = 3,994,023.23
  5. Step 5: Solve for x
    x = 3,994,023.23/2,730.35
  6. Step 6: Final answer
    x = 1,462.83

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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.