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Finding the Fourth Proportional to 2,730.30, 4,095.45 and 2,406.30

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Solution

The fourth proportional to 2,730.30, 4,095.45 and 2,406.30 is: 3,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.30 : 4,095.45 = 2,406.30 : x
  2. Step 2: Convert to fraction form
    2,730.30/4,095.45 = 2,406.30/x
  3. Step 3: Cross multiply
    2,730.30x = 4,095.45 × 2,406.30
  4. Step 4: Simplify right side
    2,730.30x = 9,854,881.34
  5. Step 5: Solve for x
    x = 9,854,881.34/2,730.30
  6. Step 6: Final answer
    x = 3,609.45

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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.