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Finding the Fourth Proportional to 1,380.07, 2,070.44 and 406.15

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Solution

The fourth proportional to 1,380.07, 2,070.44 and 406.15 is: 609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.07 : 2,070.44 = 406.15 : x
  2. Step 2: Convert to fraction form
    1,380.07/2,070.44 = 406.15/x
  3. Step 3: Cross multiply
    1,380.07x = 2,070.44 × 406.15
  4. Step 4: Simplify right side
    1,380.07x = 840,909.21
  5. Step 5: Solve for x
    x = 840,909.21/1,380.07
  6. Step 6: Final answer
    x = 609.32

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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.