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Finding the Fourth Proportional to 1,746.41, 2,408.18 and 1,248.84

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Solution

The fourth proportional to 1,746.41, 2,408.18 and 1,248.84 is: 1,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.41 : 2,408.18 = 1,248.84 : x
  2. Step 2: Convert to fraction form
    1,746.41/2,408.18 = 1,248.84/x
  3. Step 3: Cross multiply
    1,746.41x = 2,408.18 × 1,248.84
  4. Step 4: Simplify right side
    1,746.41x = 3,007,425.27
  5. Step 5: Solve for x
    x = 3,007,425.27/1,746.41
  6. Step 6: Final answer
    x = 1,722.07

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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.