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Finding the Fourth Proportional to 3,283, 4,530.60 and 1,886.08

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Solution

The fourth proportional to 3,283, 4,530.60 and 1,886.08 is: 2,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283 : 4,530.60 = 1,886.08 : x
  2. Step 2: Convert to fraction form
    3,283/4,530.60 = 1,886.08/x
  3. Step 3: Cross multiply
    3,283x = 4,530.60 × 1,886.08
  4. Step 4: Simplify right side
    3,283x = 8,545,074.05
  5. Step 5: Solve for x
    x = 8,545,074.05/3,283
  6. Step 6: Final answer
    x = 2,602.82

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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.