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Finding the Fourth Proportional to 2,886.32, 4,329.76 and 1,739.36

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Solution

The fourth proportional to 2,886.32, 4,329.76 and 1,739.36 is: 2,609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.32 : 4,329.76 = 1,739.36 : x
  2. Step 2: Convert to fraction form
    2,886.32/4,329.76 = 1,739.36/x
  3. Step 3: Cross multiply
    2,886.32x = 4,329.76 × 1,739.36
  4. Step 4: Simplify right side
    2,886.32x = 7,531,011.35
  5. Step 5: Solve for x
    x = 7,531,011.35/2,886.32
  6. Step 6: Final answer
    x = 2,609.21

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Why These Related Problems?

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