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Finding the Fourth Proportional to 2,594.65, 3,885.75 and 1,422.91

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Solution

The fourth proportional to 2,594.65, 3,885.75 and 1,422.91 is: 2,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.65 : 3,885.75 = 1,422.91 : x
  2. Step 2: Convert to fraction form
    2,594.65/3,885.75 = 1,422.91/x
  3. Step 3: Cross multiply
    2,594.65x = 3,885.75 × 1,422.91
  4. Step 4: Simplify right side
    2,594.65x = 5,529,072.53
  5. Step 5: Solve for x
    x = 5,529,072.53/2,594.65
  6. Step 6: Final answer
    x = 2,130.95

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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.