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Finding the Fourth Proportional to 3,200.55, 4,801.58 and 1,009.23

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Solution

The fourth proportional to 3,200.55, 4,801.58 and 1,009.23 is: 1,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.55 : 4,801.58 = 1,009.23 : x
  2. Step 2: Convert to fraction form
    3,200.55/4,801.58 = 1,009.23/x
  3. Step 3: Cross multiply
    3,200.55x = 4,801.58 × 1,009.23
  4. Step 4: Simplify right side
    3,200.55x = 4,845,898.58
  5. Step 5: Solve for x
    x = 4,845,898.58/3,200.55
  6. Step 6: Final answer
    x = 1,514.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.