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Finding the Fourth Proportional to 2,103.71, 3,157.52 and 1,064.45

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Solution

The fourth proportional to 2,103.71, 3,157.52 and 1,064.45 is: 1,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.71 : 3,157.52 = 1,064.45 : x
  2. Step 2: Convert to fraction form
    2,103.71/3,157.52 = 1,064.45/x
  3. Step 3: Cross multiply
    2,103.71x = 3,157.52 × 1,064.45
  4. Step 4: Simplify right side
    2,103.71x = 3,361,024.84
  5. Step 5: Solve for x
    x = 3,361,024.84/2,103.71
  6. Step 6: Final answer
    x = 1,597.66

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