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Finding the Fourth Proportional to 1,539.98, 2,309.40 and 615.26

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Solution

The fourth proportional to 1,539.98, 2,309.40 and 615.26 is: 922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.98 : 2,309.40 = 615.26 : x
  2. Step 2: Convert to fraction form
    1,539.98/2,309.40 = 615.26/x
  3. Step 3: Cross multiply
    1,539.98x = 2,309.40 × 615.26
  4. Step 4: Simplify right side
    1,539.98x = 1,420,881.44
  5. Step 5: Solve for x
    x = 1,420,881.44/1,539.98
  6. Step 6: Final answer
    x = 922.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.