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Finding the Fourth Proportional to 2,416.28, 3,624.42 and 592.28

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Solution

The fourth proportional to 2,416.28, 3,624.42 and 592.28 is: 888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.28 : 3,624.42 = 592.28 : x
  2. Step 2: Convert to fraction form
    2,416.28/3,624.42 = 592.28/x
  3. Step 3: Cross multiply
    2,416.28x = 3,624.42 × 592.28
  4. Step 4: Simplify right side
    2,416.28x = 2,146,671.48
  5. Step 5: Solve for x
    x = 2,146,671.48/2,416.28
  6. Step 6: Final answer
    x = 888.42

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1.5x scale

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.