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Finding the Fourth Proportional to 2,609.23, 3,913.53 and 661.45

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Solution

The fourth proportional to 2,609.23, 3,913.53 and 661.45 is: 992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.23 : 3,913.53 = 661.45 : x
  2. Step 2: Convert to fraction form
    2,609.23/3,913.53 = 661.45/x
  3. Step 3: Cross multiply
    2,609.23x = 3,913.53 × 661.45
  4. Step 4: Simplify right side
    2,609.23x = 2,588,604.42
  5. Step 5: Solve for x
    x = 2,588,604.42/2,609.23
  6. Step 6: Final answer
    x = 992.10

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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.