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Finding the Fourth Proportional to 3,184.84, 4,779.18 and 1,953.16

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Solution

The fourth proportional to 3,184.84, 4,779.18 and 1,953.16 is: 2,930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.84 : 4,779.18 = 1,953.16 : x
  2. Step 2: Convert to fraction form
    3,184.84/4,779.18 = 1,953.16/x
  3. Step 3: Cross multiply
    3,184.84x = 4,779.18 × 1,953.16
  4. Step 4: Simplify right side
    3,184.84x = 9,334,503.21
  5. Step 5: Solve for x
    x = 9,334,503.21/3,184.84
  6. Step 6: Final answer
    x = 2,930.92

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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.