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Finding the Fourth Proportional to 4,784.76, 7,177.13 and 1,322

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Solution

The fourth proportional to 4,784.76, 7,177.13 and 1,322 is: 1,983.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.76 : 7,177.13 = 1,322 : x
  2. Step 2: Convert to fraction form
    4,784.76/7,177.13 = 1,322/x
  3. Step 3: Cross multiply
    4,784.76x = 7,177.13 × 1,322
  4. Step 4: Simplify right side
    4,784.76x = 9,488,165.86
  5. Step 5: Solve for x
    x = 9,488,165.86/4,784.76
  6. Step 6: Final answer
    x = 1,983.00

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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.