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Finding the Fourth Proportional to 1,580.69, 2,370.86 and 606.11

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Solution

The fourth proportional to 1,580.69, 2,370.86 and 606.11 is: 909.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.69 : 2,370.86 = 606.11 : x
  2. Step 2: Convert to fraction form
    1,580.69/2,370.86 = 606.11/x
  3. Step 3: Cross multiply
    1,580.69x = 2,370.86 × 606.11
  4. Step 4: Simplify right side
    1,580.69x = 1,436,989.34
  5. Step 5: Solve for x
    x = 1,436,989.34/1,580.69
  6. Step 6: Final answer
    x = 909.09

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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.