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Finding the Fourth Proportional to 1,623.17, 2,434.94 and 468.92

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Solution

The fourth proportional to 1,623.17, 2,434.94 and 468.92 is: 703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.17 : 2,434.94 = 468.92 : x
  2. Step 2: Convert to fraction form
    1,623.17/2,434.94 = 468.92/x
  3. Step 3: Cross multiply
    1,623.17x = 2,434.94 × 468.92
  4. Step 4: Simplify right side
    1,623.17x = 1,141,792.06
  5. Step 5: Solve for x
    x = 1,141,792.06/1,623.17
  6. Step 6: Final answer
    x = 703.43

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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.