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Finding the Fourth Proportional to 1,623.48, 2,433.36 and 649.08

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Solution

The fourth proportional to 1,623.48, 2,433.36 and 649.08 is: 972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.48 : 2,433.36 = 649.08 : x
  2. Step 2: Convert to fraction form
    1,623.48/2,433.36 = 649.08/x
  3. Step 3: Cross multiply
    1,623.48x = 2,433.36 × 649.08
  4. Step 4: Simplify right side
    1,623.48x = 1,579,445.31
  5. Step 5: Solve for x
    x = 1,579,445.31/1,623.48
  6. Step 6: Final answer
    x = 972.88

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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.