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Finding the Fourth Proportional to 3,117.25, 4,302.00 and 1,720.00

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Solution

The fourth proportional to 3,117.25, 4,302.00 and 1,720.00 is: 2,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.25 : 4,302.00 = 1,720.00 : x
  2. Step 2: Convert to fraction form
    3,117.25/4,302.00 = 1,720.00/x
  3. Step 3: Cross multiply
    3,117.25x = 4,302.00 × 1,720.00
  4. Step 4: Simplify right side
    3,117.25x = 7,399,409.89
  5. Step 5: Solve for x
    x = 7,399,409.89/3,117.25
  6. Step 6: Final answer
    x = 2,373.70

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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.