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Finding the Fourth Proportional to 1,964, 2,938.68 and 1,230.16

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Solution

The fourth proportional to 1,964, 2,938.68 and 1,230.16 is: 1,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964 : 2,938.68 = 1,230.16 : x
  2. Step 2: Convert to fraction form
    1,964/2,938.68 = 1,230.16/x
  3. Step 3: Cross multiply
    1,964x = 2,938.68 × 1,230.16
  4. Step 4: Simplify right side
    1,964x = 3,615,046.59
  5. Step 5: Solve for x
    x = 3,615,046.59/1,964
  6. Step 6: Final answer
    x = 1,840.66

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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.