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Finding the Fourth Proportional to 2,416.30, 3,623.46 and 955.24

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Solution

The fourth proportional to 2,416.30, 3,623.46 and 955.24 is: 1,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.30 : 3,623.46 = 955.24 : x
  2. Step 2: Convert to fraction form
    2,416.30/3,623.46 = 955.24/x
  3. Step 3: Cross multiply
    2,416.30x = 3,623.46 × 955.24
  4. Step 4: Simplify right side
    2,416.30x = 3,461,273.93
  5. Step 5: Solve for x
    x = 3,461,273.93/2,416.30
  6. Step 6: Final answer
    x = 1,432.47

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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.