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Finding the Fourth Proportional to 4,801.60, 7,202.40 and 1,514.95

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Solution

The fourth proportional to 4,801.60, 7,202.40 and 1,514.95 is: 2,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.60 : 7,202.40 = 1,514.95 : x
  2. Step 2: Convert to fraction form
    4,801.60/7,202.40 = 1,514.95/x
  3. Step 3: Cross multiply
    4,801.60x = 7,202.40 × 1,514.95
  4. Step 4: Simplify right side
    4,801.60x = 10,911,254.09
  5. Step 5: Solve for x
    x = 10,911,254.09/4,801.60
  6. Step 6: Final answer
    x = 2,272.42

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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.