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Finding the Fourth Proportional to 1,438.40, 2,156.96 and 412.16

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Solution

The fourth proportional to 1,438.40, 2,156.96 and 412.16 is: 618.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.40 : 2,156.96 = 412.16 : x
  2. Step 2: Convert to fraction form
    1,438.40/2,156.96 = 412.16/x
  3. Step 3: Cross multiply
    1,438.40x = 2,156.96 × 412.16
  4. Step 4: Simplify right side
    1,438.40x = 889,012.63
  5. Step 5: Solve for x
    x = 889,012.63/1,438.40
  6. Step 6: Final answer
    x = 618.06

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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.