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Finding the Fourth Proportional to 3,463.40, 4,779.48 and 2,066

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Solution

The fourth proportional to 3,463.40, 4,779.48 and 2,066 is: 2,851.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.40 : 4,779.48 = 2,066 : x
  2. Step 2: Convert to fraction form
    3,463.40/4,779.48 = 2,066/x
  3. Step 3: Cross multiply
    3,463.40x = 4,779.48 × 2,066
  4. Step 4: Simplify right side
    3,463.40x = 9,874,405.68
  5. Step 5: Solve for x
    x = 9,874,405.68/3,463.40
  6. Step 6: Final answer
    x = 2,851.07

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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.