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Finding the Fourth Proportional to 2,917.64, 4,026.42 and 1,783.49

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Solution

The fourth proportional to 2,917.64, 4,026.42 and 1,783.49 is: 2,461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.64 : 4,026.42 = 1,783.49 : x
  2. Step 2: Convert to fraction form
    2,917.64/4,026.42 = 1,783.49/x
  3. Step 3: Cross multiply
    2,917.64x = 4,026.42 × 1,783.49
  4. Step 4: Simplify right side
    2,917.64x = 7,181,079.81
  5. Step 5: Solve for x
    x = 7,181,079.81/2,917.64
  6. Step 6: Final answer
    x = 2,461.26

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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.