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Finding the Fourth Proportional to 3,419.84, 4,719.20 and 1,927.76

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Solution

The fourth proportional to 3,419.84, 4,719.20 and 1,927.76 is: 2,660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.84 : 4,719.20 = 1,927.76 : x
  2. Step 2: Convert to fraction form
    3,419.84/4,719.20 = 1,927.76/x
  3. Step 3: Cross multiply
    3,419.84x = 4,719.20 × 1,927.76
  4. Step 4: Simplify right side
    3,419.84x = 9,097,484.99
  5. Step 5: Solve for x
    x = 9,097,484.99/3,419.84
  6. Step 6: Final answer
    x = 2,660.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.