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Finding the Fourth Proportional to 2,317.34, 3,476.03 and 585.96

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Solution

The fourth proportional to 2,317.34, 3,476.03 and 585.96 is: 878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.34 : 3,476.03 = 585.96 : x
  2. Step 2: Convert to fraction form
    2,317.34/3,476.03 = 585.96/x
  3. Step 3: Cross multiply
    2,317.34x = 3,476.03 × 585.96
  4. Step 4: Simplify right side
    2,317.34x = 2,036,811.61
  5. Step 5: Solve for x
    x = 2,036,811.61/2,317.34
  6. Step 6: Final answer
    x = 878.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.