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Finding the Fourth Proportional to 1,623.72, 2,240.70 and 915.60

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Solution

The fourth proportional to 1,623.72, 2,240.70 and 915.60 is: 1,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.72 : 2,240.70 = 915.60 : x
  2. Step 2: Convert to fraction form
    1,623.72/2,240.70 = 915.60/x
  3. Step 3: Cross multiply
    1,623.72x = 2,240.70 × 915.60
  4. Step 4: Simplify right side
    1,623.72x = 2,051,584.92
  5. Step 5: Solve for x
    x = 2,051,584.92/1,623.72
  6. Step 6: Final answer
    x = 1,263.51

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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.