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Finding the Fourth Proportional to 2,783.60, 4,175.28 and 2,713.84

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Solution

The fourth proportional to 2,783.60, 4,175.28 and 2,713.84 is: 4,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.60 : 4,175.28 = 2,713.84 : x
  2. Step 2: Convert to fraction form
    2,783.60/4,175.28 = 2,713.84/x
  3. Step 3: Cross multiply
    2,783.60x = 4,175.28 × 2,713.84
  4. Step 4: Simplify right side
    2,783.60x = 11,331,041.88
  5. Step 5: Solve for x
    x = 11,331,041.88/2,783.60
  6. Step 6: Final answer
    x = 4,070.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.