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Finding the Fourth Proportional to 2,304.66, 3,457.17 and 661.34

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Solution

The fourth proportional to 2,304.66, 3,457.17 and 661.34 is: 992.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.66 : 3,457.17 = 661.34 : x
  2. Step 2: Convert to fraction form
    2,304.66/3,457.17 = 661.34/x
  3. Step 3: Cross multiply
    2,304.66x = 3,457.17 × 661.34
  4. Step 4: Simplify right side
    2,304.66x = 2,286,347.52
  5. Step 5: Solve for x
    x = 2,286,347.52/2,304.66
  6. Step 6: Final answer
    x = 992.05

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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.