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Finding the Fourth Proportional to 3,094.96, 4,642.74 and 903.10

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Solution

The fourth proportional to 3,094.96, 4,642.74 and 903.10 is: 1,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.96 : 4,642.74 = 903.10 : x
  2. Step 2: Convert to fraction form
    3,094.96/4,642.74 = 903.10/x
  3. Step 3: Cross multiply
    3,094.96x = 4,642.74 × 903.10
  4. Step 4: Simplify right side
    3,094.96x = 4,192,858.49
  5. Step 5: Solve for x
    x = 4,192,858.49/3,094.96
  6. Step 6: Final answer
    x = 1,354.74

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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.