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Finding the Fourth Proportional to 3,307, 4,563.66 and 1,835

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Solution

The fourth proportional to 3,307, 4,563.66 and 1,835 is: 2,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307 : 4,563.66 = 1,835 : x
  2. Step 2: Convert to fraction form
    3,307/4,563.66 = 1,835/x
  3. Step 3: Cross multiply
    3,307x = 4,563.66 × 1,835
  4. Step 4: Simplify right side
    3,307x = 8,374,316.10
  5. Step 5: Solve for x
    x = 8,374,316.10/3,307
  6. Step 6: Final answer
    x = 2,532.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.