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Finding the Fourth Proportional to 1,339.43, 1,847.61 and 807.93

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Solution

The fourth proportional to 1,339.43, 1,847.61 and 807.93 is: 1,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.43 : 1,847.61 = 807.93 : x
  2. Step 2: Convert to fraction form
    1,339.43/1,847.61 = 807.93/x
  3. Step 3: Cross multiply
    1,339.43x = 1,847.61 × 807.93
  4. Step 4: Simplify right side
    1,339.43x = 1,492,739.55
  5. Step 5: Solve for x
    x = 1,492,739.55/1,339.43
  6. Step 6: Final answer
    x = 1,114.46

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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.