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Finding the Fourth Proportional to 2,315.76, 3,473.34 and 584.28

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Solution

The fourth proportional to 2,315.76, 3,473.34 and 584.28 is: 876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.76 : 3,473.34 = 584.28 : x
  2. Step 2: Convert to fraction form
    2,315.76/3,473.34 = 584.28/x
  3. Step 3: Cross multiply
    2,315.76x = 3,473.34 × 584.28
  4. Step 4: Simplify right side
    2,315.76x = 2,029,403.10
  5. Step 5: Solve for x
    x = 2,029,403.10/2,315.76
  6. Step 6: Final answer
    x = 876.34

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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.