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Finding the Fourth Proportional to 1,438.56, 1,979.52 and 1,184.16

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Solution

The fourth proportional to 1,438.56, 1,979.52 and 1,184.16 is: 1,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.56 : 1,979.52 = 1,184.16 : x
  2. Step 2: Convert to fraction form
    1,438.56/1,979.52 = 1,184.16/x
  3. Step 3: Cross multiply
    1,438.56x = 1,979.52 × 1,184.16
  4. Step 4: Simplify right side
    1,438.56x = 2,344,068.40
  5. Step 5: Solve for x
    x = 2,344,068.40/1,438.56
  6. Step 6: Final answer
    x = 1,629.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.