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Finding the Fourth Proportional to 2,976.52, 4,465.01 and 785.22

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Solution

The fourth proportional to 2,976.52, 4,465.01 and 785.22 is: 1,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.52 : 4,465.01 = 785.22 : x
  2. Step 2: Convert to fraction form
    2,976.52/4,465.01 = 785.22/x
  3. Step 3: Cross multiply
    2,976.52x = 4,465.01 × 785.22
  4. Step 4: Simplify right side
    2,976.52x = 3,506,015.15
  5. Step 5: Solve for x
    x = 3,506,015.15/2,976.52
  6. Step 6: Final answer
    x = 1,177.89

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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.