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Finding the Fourth Proportional to 1,623.69, 2,436.14 and 974.88

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Solution

The fourth proportional to 1,623.69, 2,436.14 and 974.88 is: 1,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.69 : 2,436.14 = 974.88 : x
  2. Step 2: Convert to fraction form
    1,623.69/2,436.14 = 974.88/x
  3. Step 3: Cross multiply
    1,623.69x = 2,436.14 × 974.88
  4. Step 4: Simplify right side
    1,623.69x = 2,374,946.60
  5. Step 5: Solve for x
    x = 2,374,946.60/1,623.69
  6. Step 6: Final answer
    x = 1,462.68

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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.