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Finding the Fourth Proportional to 4,965.24, 7,448.06 and 1,678.66

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Solution

The fourth proportional to 4,965.24, 7,448.06 and 1,678.66 is: 2,518.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.24 : 7,448.06 = 1,678.66 : x
  2. Step 2: Convert to fraction form
    4,965.24/7,448.06 = 1,678.66/x
  3. Step 3: Cross multiply
    4,965.24x = 7,448.06 × 1,678.66
  4. Step 4: Simplify right side
    4,965.24x = 12,502,760.40
  5. Step 5: Solve for x
    x = 12,502,760.40/4,965.24
  6. Step 6: Final answer
    x = 2,518.06

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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.