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Finding the Fourth Proportional to 2,045.60, 3,066.68 and 890.48

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Solution

The fourth proportional to 2,045.60, 3,066.68 and 890.48 is: 1,334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.60 : 3,066.68 = 890.48 : x
  2. Step 2: Convert to fraction form
    2,045.60/3,066.68 = 890.48/x
  3. Step 3: Cross multiply
    2,045.60x = 3,066.68 × 890.48
  4. Step 4: Simplify right side
    2,045.60x = 2,730,817.21
  5. Step 5: Solve for x
    x = 2,730,817.21/2,045.60
  6. Step 6: Final answer
    x = 1,334.97

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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.