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Finding the Fourth Proportional to 2,335.77, 3,503.66 and 580.77

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Solution

The fourth proportional to 2,335.77, 3,503.66 and 580.77 is: 871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.77 : 3,503.66 = 580.77 : x
  2. Step 2: Convert to fraction form
    2,335.77/3,503.66 = 580.77/x
  3. Step 3: Cross multiply
    2,335.77x = 3,503.66 × 580.77
  4. Step 4: Simplify right side
    2,335.77x = 2,034,817.71
  5. Step 5: Solve for x
    x = 2,034,817.71/2,335.77
  6. Step 6: Final answer
    x = 871.16

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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.