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Finding the Fourth Proportional to 1,622.93, 2,238.17 and 1,387.76

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Solution

The fourth proportional to 1,622.93, 2,238.17 and 1,387.76 is: 1,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.93 : 2,238.17 = 1,387.76 : x
  2. Step 2: Convert to fraction form
    1,622.93/2,238.17 = 1,387.76/x
  3. Step 3: Cross multiply
    1,622.93x = 2,238.17 × 1,387.76
  4. Step 4: Simplify right side
    1,622.93x = 3,106,024.67
  5. Step 5: Solve for x
    x = 3,106,024.67/1,622.93
  6. Step 6: Final answer
    x = 1,913.84

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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.