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Finding the Fourth Proportional to 1,622.90, 2,238.81 and 1,560.03

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Solution

The fourth proportional to 1,622.90, 2,238.81 and 1,560.03 is: 2,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.90 : 2,238.81 = 1,560.03 : x
  2. Step 2: Convert to fraction form
    1,622.90/2,238.81 = 1,560.03/x
  3. Step 3: Cross multiply
    1,622.90x = 2,238.81 × 1,560.03
  4. Step 4: Simplify right side
    1,622.90x = 3,492,596.52
  5. Step 5: Solve for x
    x = 3,492,596.52/1,622.90
  6. Step 6: Final answer
    x = 2,152.07

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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.