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Finding the Fourth Proportional to 1,950.16, 2,692.20 and 1,507.06

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Solution

The fourth proportional to 1,950.16, 2,692.20 and 1,507.06 is: 2,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.16 : 2,692.20 = 1,507.06 : x
  2. Step 2: Convert to fraction form
    1,950.16/2,692.20 = 1,507.06/x
  3. Step 3: Cross multiply
    1,950.16x = 2,692.20 × 1,507.06
  4. Step 4: Simplify right side
    1,950.16x = 4,057,306.93
  5. Step 5: Solve for x
    x = 4,057,306.93/1,950.16
  6. Step 6: Final answer
    x = 2,080.50

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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.