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Finding the Fourth Proportional to 4,290.88, 6,438.48 and 1,984

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Solution

The fourth proportional to 4,290.88, 6,438.48 and 1,984 is: 2,977.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.88 : 6,438.48 = 1,984 : x
  2. Step 2: Convert to fraction form
    4,290.88/6,438.48 = 1,984/x
  3. Step 3: Cross multiply
    4,290.88x = 6,438.48 × 1,984
  4. Step 4: Simplify right side
    4,290.88x = 12,773,944.32
  5. Step 5: Solve for x
    x = 12,773,944.32/4,290.88
  6. Step 6: Final answer
    x = 2,977.00

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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.