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Finding the Fourth Proportional to 2,705.94, 4,054.86 and 2,430.54

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Solution

The fourth proportional to 2,705.94, 4,054.86 and 2,430.54 is: 3,642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.94 : 4,054.86 = 2,430.54 : x
  2. Step 2: Convert to fraction form
    2,705.94/4,054.86 = 2,430.54/x
  3. Step 3: Cross multiply
    2,705.94x = 4,054.86 × 2,430.54
  4. Step 4: Simplify right side
    2,705.94x = 9,855,499.42
  5. Step 5: Solve for x
    x = 9,855,499.42/2,705.94
  6. Step 6: Final answer
    x = 3,642.17

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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.