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Finding the Fourth Proportional to 2,316.73, 3,475.02 and 585.35

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Solution

The fourth proportional to 2,316.73, 3,475.02 and 585.35 is: 878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.73 : 3,475.02 = 585.35 : x
  2. Step 2: Convert to fraction form
    2,316.73/3,475.02 = 585.35/x
  3. Step 3: Cross multiply
    2,316.73x = 3,475.02 × 585.35
  4. Step 4: Simplify right side
    2,316.73x = 2,034,102.96
  5. Step 5: Solve for x
    x = 2,034,102.96/2,316.73
  6. Step 6: Final answer
    x = 878.01

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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.