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Finding the Fourth Proportional to 1,771.90, 2,444.52 and 1,063.77

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Solution

The fourth proportional to 1,771.90, 2,444.52 and 1,063.77 is: 1,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.90 : 2,444.52 = 1,063.77 : x
  2. Step 2: Convert to fraction form
    1,771.90/2,444.52 = 1,063.77/x
  3. Step 3: Cross multiply
    1,771.90x = 2,444.52 × 1,063.77
  4. Step 4: Simplify right side
    1,771.90x = 2,600,407.04
  5. Step 5: Solve for x
    x = 2,600,407.04/1,771.90
  6. Step 6: Final answer
    x = 1,467.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.