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Finding the Fourth Proportional to 1,628.81, 2,437.09 and 968.25

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Solution

The fourth proportional to 1,628.81, 2,437.09 and 968.25 is: 1,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.81 : 2,437.09 = 968.25 : x
  2. Step 2: Convert to fraction form
    1,628.81/2,437.09 = 968.25/x
  3. Step 3: Cross multiply
    1,628.81x = 2,437.09 × 968.25
  4. Step 4: Simplify right side
    1,628.81x = 2,359,719.11
  5. Step 5: Solve for x
    x = 2,359,719.11/1,628.81
  6. Step 6: Final answer
    x = 1,448.74

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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.