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Finding the Fourth Proportional to 3,125.24, 4,687.55 and 816.74

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Solution

The fourth proportional to 3,125.24, 4,687.55 and 816.74 is: 1,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.24 : 4,687.55 = 816.74 : x
  2. Step 2: Convert to fraction form
    3,125.24/4,687.55 = 816.74/x
  3. Step 3: Cross multiply
    3,125.24x = 4,687.55 × 816.74
  4. Step 4: Simplify right side
    3,125.24x = 3,828,509.59
  5. Step 5: Solve for x
    x = 3,828,509.59/3,125.24
  6. Step 6: Final answer
    x = 1,225.03

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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.