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Finding the Fourth Proportional to 2,337.49, 3,506.11 and 606.07

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Solution

The fourth proportional to 2,337.49, 3,506.11 and 606.07 is: 909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.49 : 3,506.11 = 606.07 : x
  2. Step 2: Convert to fraction form
    2,337.49/3,506.11 = 606.07/x
  3. Step 3: Cross multiply
    2,337.49x = 3,506.11 × 606.07
  4. Step 4: Simplify right side
    2,337.49x = 2,124,948.09
  5. Step 5: Solve for x
    x = 2,124,948.09/2,337.49
  6. Step 6: Final answer
    x = 909.07

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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.