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Finding the Fourth Proportional to 2,335.16, 3,220.62 and 1,746.20

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Solution

The fourth proportional to 2,335.16, 3,220.62 and 1,746.20 is: 2,408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.16 : 3,220.62 = 1,746.20 : x
  2. Step 2: Convert to fraction form
    2,335.16/3,220.62 = 1,746.20/x
  3. Step 3: Cross multiply
    2,335.16x = 3,220.62 × 1,746.20
  4. Step 4: Simplify right side
    2,335.16x = 5,623,846.64
  5. Step 5: Solve for x
    x = 5,623,846.64/2,335.16
  6. Step 6: Final answer
    x = 2,408.33

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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.