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Finding the Fourth Proportional to 1,764.87, 2,438.05 and 1,410.32

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Solution

The fourth proportional to 1,764.87, 2,438.05 and 1,410.32 is: 1,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.87 : 2,438.05 = 1,410.32 : x
  2. Step 2: Convert to fraction form
    1,764.87/2,438.05 = 1,410.32/x
  3. Step 3: Cross multiply
    1,764.87x = 2,438.05 × 1,410.32
  4. Step 4: Simplify right side
    1,764.87x = 3,438,435.89
  5. Step 5: Solve for x
    x = 3,438,435.89/1,764.87
  6. Step 6: Final answer
    x = 1,948.27

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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.