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Finding the Fourth Proportional to 1,623.02, 2,429.85 and 953.90

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Solution

The fourth proportional to 1,623.02, 2,429.85 and 953.90 is: 1,428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.02 : 2,429.85 = 953.90 : x
  2. Step 2: Convert to fraction form
    1,623.02/2,429.85 = 953.90/x
  3. Step 3: Cross multiply
    1,623.02x = 2,429.85 × 953.90
  4. Step 4: Simplify right side
    1,623.02x = 2,317,821.77
  5. Step 5: Solve for x
    x = 2,317,821.77/1,623.02
  6. Step 6: Final answer
    x = 1,428.09

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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.