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Finding the Fourth Proportional to 2,451.94, 3,675.84 and 1,064.23

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Solution

The fourth proportional to 2,451.94, 3,675.84 and 1,064.23 is: 1,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.94 : 3,675.84 = 1,064.23 : x
  2. Step 2: Convert to fraction form
    2,451.94/3,675.84 = 1,064.23/x
  3. Step 3: Cross multiply
    2,451.94x = 3,675.84 × 1,064.23
  4. Step 4: Simplify right side
    2,451.94x = 3,911,939.20
  5. Step 5: Solve for x
    x = 3,911,939.20/2,451.94
  6. Step 6: Final answer
    x = 1,595.45

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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.