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Finding the Fourth Proportional to 2,703.18, 3,730.50 and 1,524.30

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Solution

The fourth proportional to 2,703.18, 3,730.50 and 1,524.30 is: 2,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.18 : 3,730.50 = 1,524.30 : x
  2. Step 2: Convert to fraction form
    2,703.18/3,730.50 = 1,524.30/x
  3. Step 3: Cross multiply
    2,703.18x = 3,730.50 × 1,524.30
  4. Step 4: Simplify right side
    2,703.18x = 5,686,401.15
  5. Step 5: Solve for x
    x = 5,686,401.15/2,703.18
  6. Step 6: Final answer
    x = 2,103.60

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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.