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Finding the Fourth Proportional to 3,242.79, 4,475.16 and 1,917.63

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Solution

The fourth proportional to 3,242.79, 4,475.16 and 1,917.63 is: 2,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.79 : 4,475.16 = 1,917.63 : x
  2. Step 2: Convert to fraction form
    3,242.79/4,475.16 = 1,917.63/x
  3. Step 3: Cross multiply
    3,242.79x = 4,475.16 × 1,917.63
  4. Step 4: Simplify right side
    3,242.79x = 8,581,701.07
  5. Step 5: Solve for x
    x = 8,581,701.07/3,242.79
  6. Step 6: Final answer
    x = 2,646.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.