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Finding the Fourth Proportional to 2,305.04, 3,457.76 and 661.64

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Solution

The fourth proportional to 2,305.04, 3,457.76 and 661.64 is: 992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.04 : 3,457.76 = 661.64 : x
  2. Step 2: Convert to fraction form
    2,305.04/3,457.76 = 661.64/x
  3. Step 3: Cross multiply
    2,305.04x = 3,457.76 × 661.64
  4. Step 4: Simplify right side
    2,305.04x = 2,287,771.73
  5. Step 5: Solve for x
    x = 2,287,771.73/2,305.04
  6. Step 6: Final answer
    x = 992.51

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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.