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Finding the Fourth Proportional to 2,337.69, 3,506.74 and 606.32

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Solution

The fourth proportional to 2,337.69, 3,506.74 and 606.32 is: 909.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.69 : 3,506.74 = 606.32 : x
  2. Step 2: Convert to fraction form
    2,337.69/3,506.74 = 606.32/x
  3. Step 3: Cross multiply
    2,337.69x = 3,506.74 × 606.32
  4. Step 4: Simplify right side
    2,337.69x = 2,126,186.03
  5. Step 5: Solve for x
    x = 2,126,186.03/2,337.69
  6. Step 6: Final answer
    x = 909.52

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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.