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Finding the Fourth Proportional to 3,009.55, 4,514.37 and 788.45

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Solution

The fourth proportional to 3,009.55, 4,514.37 and 788.45 is: 1,182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.55 : 4,514.37 = 788.45 : x
  2. Step 2: Convert to fraction form
    3,009.55/4,514.37 = 788.45/x
  3. Step 3: Cross multiply
    3,009.55x = 4,514.37 × 788.45
  4. Step 4: Simplify right side
    3,009.55x = 3,559,355.03
  5. Step 5: Solve for x
    x = 3,559,355.03/3,009.55
  6. Step 6: Final answer
    x = 1,182.69

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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.