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Finding the Fourth Proportional to 2,416.41, 3,624.90 and 856.10

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Solution

The fourth proportional to 2,416.41, 3,624.90 and 856.10 is: 1,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.41 : 3,624.90 = 856.10 : x
  2. Step 2: Convert to fraction form
    2,416.41/3,624.90 = 856.10/x
  3. Step 3: Cross multiply
    2,416.41x = 3,624.90 × 856.10
  4. Step 4: Simplify right side
    2,416.41x = 3,103,258.77
  5. Step 5: Solve for x
    x = 3,103,258.77/2,416.41
  6. Step 6: Final answer
    x = 1,284.24

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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.