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Finding the Fourth Proportional to 1,380.21, 2,070.25 and 340.16

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Solution

The fourth proportional to 1,380.21, 2,070.25 and 340.16 is: 510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.21 : 2,070.25 = 340.16 : x
  2. Step 2: Convert to fraction form
    1,380.21/2,070.25 = 340.16/x
  3. Step 3: Cross multiply
    1,380.21x = 2,070.25 × 340.16
  4. Step 4: Simplify right side
    1,380.21x = 704,210.21
  5. Step 5: Solve for x
    x = 704,210.21/1,380.21
  6. Step 6: Final answer
    x = 510.22

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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.