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Finding the Fourth Proportional to 2,703.59, 4,052.58 and 1,142.30

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Solution

The fourth proportional to 2,703.59, 4,052.58 and 1,142.30 is: 1,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.59 : 4,052.58 = 1,142.30 : x
  2. Step 2: Convert to fraction form
    2,703.59/4,052.58 = 1,142.30/x
  3. Step 3: Cross multiply
    2,703.59x = 4,052.58 × 1,142.30
  4. Step 4: Simplify right side
    2,703.59x = 4,629,237.59
  5. Step 5: Solve for x
    x = 4,629,237.59/2,703.59
  6. Step 6: Final answer
    x = 1,712.25

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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.