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Finding the Fourth Proportional to 3,184.46, 4,393.50 and 1,925.90

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Solution

The fourth proportional to 3,184.46, 4,393.50 and 1,925.90 is: 2,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.46 : 4,393.50 = 1,925.90 : x
  2. Step 2: Convert to fraction form
    3,184.46/4,393.50 = 1,925.90/x
  3. Step 3: Cross multiply
    3,184.46x = 4,393.50 × 1,925.90
  4. Step 4: Simplify right side
    3,184.46x = 8,461,441.65
  5. Step 5: Solve for x
    x = 8,461,441.65/3,184.46
  6. Step 6: Final answer
    x = 2,657.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.