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Finding the Fourth Proportional to 2,447.65, 3,670.10 and 985.09

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Solution

The fourth proportional to 2,447.65, 3,670.10 and 985.09 is: 1,477.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.65 : 3,670.10 = 985.09 : x
  2. Step 2: Convert to fraction form
    2,447.65/3,670.10 = 985.09/x
  3. Step 3: Cross multiply
    2,447.65x = 3,670.10 × 985.09
  4. Step 4: Simplify right side
    2,447.65x = 3,615,378.81
  5. Step 5: Solve for x
    x = 3,615,378.81/2,447.65
  6. Step 6: Final answer
    x = 1,477.08

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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.