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Finding the Fourth Proportional to 1,748.66, 2,398.68 and 1,712.21

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Solution

The fourth proportional to 1,748.66, 2,398.68 and 1,712.21 is: 2,348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.66 : 2,398.68 = 1,712.21 : x
  2. Step 2: Convert to fraction form
    1,748.66/2,398.68 = 1,712.21/x
  3. Step 3: Cross multiply
    1,748.66x = 2,398.68 × 1,712.21
  4. Step 4: Simplify right side
    1,748.66x = 4,107,031.89
  5. Step 5: Solve for x
    x = 4,107,031.89/1,748.66
  6. Step 6: Final answer
    x = 2,348.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.