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Finding the Fourth Proportional to 2,703.53, 3,731.04 and 1,524.67

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Solution

The fourth proportional to 2,703.53, 3,731.04 and 1,524.67 is: 2,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.53 : 3,731.04 = 1,524.67 : x
  2. Step 2: Convert to fraction form
    2,703.53/3,731.04 = 1,524.67/x
  3. Step 3: Cross multiply
    2,703.53x = 3,731.04 × 1,524.67
  4. Step 4: Simplify right side
    2,703.53x = 5,688,612.13
  5. Step 5: Solve for x
    x = 5,688,612.13/2,703.53
  6. Step 6: Final answer
    x = 2,104.14

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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.