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Finding the Fourth Proportional to 2,316.67, 3,474.99 and 585.29

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Solution

The fourth proportional to 2,316.67, 3,474.99 and 585.29 is: 877.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.67 : 3,474.99 = 585.29 : x
  2. Step 2: Convert to fraction form
    2,316.67/3,474.99 = 585.29/x
  3. Step 3: Cross multiply
    2,316.67x = 3,474.99 × 585.29
  4. Step 4: Simplify right side
    2,316.67x = 2,033,885.58
  5. Step 5: Solve for x
    x = 2,033,885.58/2,316.67
  6. Step 6: Final answer
    x = 877.94

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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.