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Finding the Fourth Proportional to 2,730.30, 4,095.66 and 975.68

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Solution

The fourth proportional to 2,730.30, 4,095.66 and 975.68 is: 1,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.30 : 4,095.66 = 975.68 : x
  2. Step 2: Convert to fraction form
    2,730.30/4,095.66 = 975.68/x
  3. Step 3: Cross multiply
    2,730.30x = 4,095.66 × 975.68
  4. Step 4: Simplify right side
    2,730.30x = 3,996,033.07
  5. Step 5: Solve for x
    x = 3,996,033.07/2,730.30
  6. Step 6: Final answer
    x = 1,463.59

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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.