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Finding the Fourth Proportional to 1,746.84, 2,411.40 and 1,327.26

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Solution

The fourth proportional to 1,746.84, 2,411.40 and 1,327.26 is: 1,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.84 : 2,411.40 = 1,327.26 : x
  2. Step 2: Convert to fraction form
    1,746.84/2,411.40 = 1,327.26/x
  3. Step 3: Cross multiply
    1,746.84x = 2,411.40 × 1,327.26
  4. Step 4: Simplify right side
    1,746.84x = 3,200,554.76
  5. Step 5: Solve for x
    x = 3,200,554.76/1,746.84
  6. Step 6: Final answer
    x = 1,832.20

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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.