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Finding the Fourth Proportional to 1,580.09, 2,370.12 and 877.73

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Solution

The fourth proportional to 1,580.09, 2,370.12 and 877.73 is: 1,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.09 : 2,370.12 = 877.73 : x
  2. Step 2: Convert to fraction form
    1,580.09/2,370.12 = 877.73/x
  3. Step 3: Cross multiply
    1,580.09x = 2,370.12 × 877.73
  4. Step 4: Simplify right side
    1,580.09x = 2,080,310.29
  5. Step 5: Solve for x
    x = 2,080,310.29/1,580.09
  6. Step 6: Final answer
    x = 1,316.58

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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.