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Finding the Fourth Proportional to 3,184.21, 4,774.65 and 992.35

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Solution

The fourth proportional to 3,184.21, 4,774.65 and 992.35 is: 1,488.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.21 : 4,774.65 = 992.35 : x
  2. Step 2: Convert to fraction form
    3,184.21/4,774.65 = 992.35/x
  3. Step 3: Cross multiply
    3,184.21x = 4,774.65 × 992.35
  4. Step 4: Simplify right side
    3,184.21x = 4,738,126.17
  5. Step 5: Solve for x
    x = 4,738,126.17/3,184.21
  6. Step 6: Final answer
    x = 1,488.01

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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.