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Finding the Fourth Proportional to 1,623.02, 2,239.15 and 924.02

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Solution

The fourth proportional to 1,623.02, 2,239.15 and 924.02 is: 1,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.02 : 2,239.15 = 924.02 : x
  2. Step 2: Convert to fraction form
    1,623.02/2,239.15 = 924.02/x
  3. Step 3: Cross multiply
    1,623.02x = 2,239.15 × 924.02
  4. Step 4: Simplify right side
    1,623.02x = 2,069,005.88
  5. Step 5: Solve for x
    x = 2,069,005.88/1,623.02
  6. Step 6: Final answer
    x = 1,274.79

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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.