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Finding the Fourth Proportional to 3,117.63, 4,302.13 and 1,720.41

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Solution

The fourth proportional to 3,117.63, 4,302.13 and 1,720.41 is: 2,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.63 : 4,302.13 = 1,720.41 : x
  2. Step 2: Convert to fraction form
    3,117.63/4,302.13 = 1,720.41/x
  3. Step 3: Cross multiply
    3,117.63x = 4,302.13 × 1,720.41
  4. Step 4: Simplify right side
    3,117.63x = 7,401,427.47
  5. Step 5: Solve for x
    x = 7,401,427.47/3,117.63
  6. Step 6: Final answer
    x = 2,374.06

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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.