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Finding the Fourth Proportional to 1,623.19, 2,435.10 and 649.30

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Solution

The fourth proportional to 1,623.19, 2,435.10 and 649.30 is: 974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.19 : 2,435.10 = 649.30 : x
  2. Step 2: Convert to fraction form
    1,623.19/2,435.10 = 649.30/x
  3. Step 3: Cross multiply
    1,623.19x = 2,435.10 × 649.30
  4. Step 4: Simplify right side
    1,623.19x = 1,581,110.43
  5. Step 5: Solve for x
    x = 1,581,110.43/1,623.19
  6. Step 6: Final answer
    x = 974.08

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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.