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Finding the Fourth Proportional to 3,074.47, 4,242.12 and 1,955.00

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Solution

The fourth proportional to 3,074.47, 4,242.12 and 1,955.00 is: 2,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.47 : 4,242.12 = 1,955.00 : x
  2. Step 2: Convert to fraction form
    3,074.47/4,242.12 = 1,955.00/x
  3. Step 3: Cross multiply
    3,074.47x = 4,242.12 × 1,955.00
  4. Step 4: Simplify right side
    3,074.47x = 8,293,358.87
  5. Step 5: Solve for x
    x = 8,293,358.87/3,074.47
  6. Step 6: Final answer
    x = 2,697.49

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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.