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Finding the Fourth Proportional to 2,315.25, 3,472.62 and 583.89

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Solution

The fourth proportional to 2,315.25, 3,472.62 and 583.89 is: 875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.25 : 3,472.62 = 583.89 : x
  2. Step 2: Convert to fraction form
    2,315.25/3,472.62 = 583.89/x
  3. Step 3: Cross multiply
    2,315.25x = 3,472.62 × 583.89
  4. Step 4: Simplify right side
    2,315.25x = 2,027,628.09
  5. Step 5: Solve for x
    x = 2,027,628.09/2,315.25
  6. Step 6: Final answer
    x = 875.77

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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.