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Finding the Fourth Proportional to 3,145.08, 4,710.43 and 1,502.78

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Solution

The fourth proportional to 3,145.08, 4,710.43 and 1,502.78 is: 2,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.08 : 4,710.43 = 1,502.78 : x
  2. Step 2: Convert to fraction form
    3,145.08/4,710.43 = 1,502.78/x
  3. Step 3: Cross multiply
    3,145.08x = 4,710.43 × 1,502.78
  4. Step 4: Simplify right side
    3,145.08x = 7,078,740.00
  5. Step 5: Solve for x
    x = 7,078,740.00/3,145.08
  6. Step 6: Final answer
    x = 2,250.73

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Why These Related Problems?

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