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Finding the Fourth Proportional to 1,748.88, 2,623.05 and 1,652.49

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Solution

The fourth proportional to 1,748.88, 2,623.05 and 1,652.49 is: 2,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.88 : 2,623.05 = 1,652.49 : x
  2. Step 2: Convert to fraction form
    1,748.88/2,623.05 = 1,652.49/x
  3. Step 3: Cross multiply
    1,748.88x = 2,623.05 × 1,652.49
  4. Step 4: Simplify right side
    1,748.88x = 4,334,563.89
  5. Step 5: Solve for x
    x = 4,334,563.89/1,748.88
  6. Step 6: Final answer
    x = 2,478.48

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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.