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Finding the Fourth Proportional to 2,315.41, 3,473.13 and 584.03

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Solution

The fourth proportional to 2,315.41, 3,473.13 and 584.03 is: 876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.41 : 3,473.13 = 584.03 : x
  2. Step 2: Convert to fraction form
    2,315.41/3,473.13 = 584.03/x
  3. Step 3: Cross multiply
    2,315.41x = 3,473.13 × 584.03
  4. Step 4: Simplify right side
    2,315.41x = 2,028,412.11
  5. Step 5: Solve for x
    x = 2,028,412.11/2,315.41
  6. Step 6: Final answer
    x = 876.05

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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.