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Finding the Fourth Proportional to 1,570.47, 2,161.75 and 1,422.85

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Solution

The fourth proportional to 1,570.47, 2,161.75 and 1,422.85 is: 1,958.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.47 : 2,161.75 = 1,422.85 : x
  2. Step 2: Convert to fraction form
    1,570.47/2,161.75 = 1,422.85/x
  3. Step 3: Cross multiply
    1,570.47x = 2,161.75 × 1,422.85
  4. Step 4: Simplify right side
    1,570.47x = 3,075,845.99
  5. Step 5: Solve for x
    x = 3,075,845.99/1,570.47
  6. Step 6: Final answer
    x = 1,958.55

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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.