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Finding the Fourth Proportional to 3,025.68, 4,175.64 and 1,783.68

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Solution

The fourth proportional to 3,025.68, 4,175.64 and 1,783.68 is: 2,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.68 : 4,175.64 = 1,783.68 : x
  2. Step 2: Convert to fraction form
    3,025.68/4,175.64 = 1,783.68/x
  3. Step 3: Cross multiply
    3,025.68x = 4,175.64 × 1,783.68
  4. Step 4: Simplify right side
    3,025.68x = 7,448,005.56
  5. Step 5: Solve for x
    x = 7,448,005.56/3,025.68
  6. Step 6: Final answer
    x = 2,461.60

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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.