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Finding the Fourth Proportional to 2,416.58, 3,622.68 and 877.22

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Solution

The fourth proportional to 2,416.58, 3,622.68 and 877.22 is: 1,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.58 : 3,622.68 = 877.22 : x
  2. Step 2: Convert to fraction form
    2,416.58/3,622.68 = 877.22/x
  3. Step 3: Cross multiply
    2,416.58x = 3,622.68 × 877.22
  4. Step 4: Simplify right side
    2,416.58x = 3,177,887.35
  5. Step 5: Solve for x
    x = 3,177,887.35/2,416.58
  6. Step 6: Final answer
    x = 1,315.04

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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.