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Finding the Fourth Proportional to 2,715.76, 4,074.20 and 1,416.88

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Solution

The fourth proportional to 2,715.76, 4,074.20 and 1,416.88 is: 2,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.76 : 4,074.20 = 1,416.88 : x
  2. Step 2: Convert to fraction form
    2,715.76/4,074.20 = 1,416.88/x
  3. Step 3: Cross multiply
    2,715.76x = 4,074.20 × 1,416.88
  4. Step 4: Simplify right side
    2,715.76x = 5,772,652.50
  5. Step 5: Solve for x
    x = 5,772,652.50/2,715.76
  6. Step 6: Final answer
    x = 2,125.61

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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.