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Finding the Fourth Proportional to 3,409.87, 4,705.87 and 1,897.77

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Solution

The fourth proportional to 3,409.87, 4,705.87 and 1,897.77 is: 2,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.87 : 4,705.87 = 1,897.77 : x
  2. Step 2: Convert to fraction form
    3,409.87/4,705.87 = 1,897.77/x
  3. Step 3: Cross multiply
    3,409.87x = 4,705.87 × 1,897.77
  4. Step 4: Simplify right side
    3,409.87x = 8,930,647.15
  5. Step 5: Solve for x
    x = 8,930,647.15/3,409.87
  6. Step 6: Final answer
    x = 2,619.06

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1.5x scale

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.