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Finding the Fourth Proportional to 1,748.24, 2,410.22 and 1,498.48

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Solution

The fourth proportional to 1,748.24, 2,410.22 and 1,498.48 is: 2,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.24 : 2,410.22 = 1,498.48 : x
  2. Step 2: Convert to fraction form
    1,748.24/2,410.22 = 1,498.48/x
  3. Step 3: Cross multiply
    1,748.24x = 2,410.22 × 1,498.48
  4. Step 4: Simplify right side
    1,748.24x = 3,611,666.47
  5. Step 5: Solve for x
    x = 3,611,666.47/1,748.24
  6. Step 6: Final answer
    x = 2,065.89

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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.