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Finding the Fourth Proportional to 2,710.35, 3,742.02 and 2,214.18

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Solution

The fourth proportional to 2,710.35, 3,742.02 and 2,214.18 is: 3,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.35 : 3,742.02 = 2,214.18 : x
  2. Step 2: Convert to fraction form
    2,710.35/3,742.02 = 2,214.18/x
  3. Step 3: Cross multiply
    2,710.35x = 3,742.02 × 2,214.18
  4. Step 4: Simplify right side
    2,710.35x = 8,285,505.84
  5. Step 5: Solve for x
    x = 8,285,505.84/2,710.35
  6. Step 6: Final answer
    x = 3,056.99

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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.