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Finding the Fourth Proportional to 3,463, 4,779.40 and 1,970.64

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Solution

The fourth proportional to 3,463, 4,779.40 and 1,970.64 is: 2,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463 : 4,779.40 = 1,970.64 : x
  2. Step 2: Convert to fraction form
    3,463/4,779.40 = 1,970.64/x
  3. Step 3: Cross multiply
    3,463x = 4,779.40 × 1,970.64
  4. Step 4: Simplify right side
    3,463x = 9,418,476.82
  5. Step 5: Solve for x
    x = 9,418,476.82/3,463
  6. Step 6: Final answer
    x = 2,719.74

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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.