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Finding the Fourth Proportional to 2,502.64, 3,752.67 and 858.74

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Solution

The fourth proportional to 2,502.64, 3,752.67 and 858.74 is: 1,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.64 : 3,752.67 = 858.74 : x
  2. Step 2: Convert to fraction form
    2,502.64/3,752.67 = 858.74/x
  3. Step 3: Cross multiply
    2,502.64x = 3,752.67 × 858.74
  4. Step 4: Simplify right side
    2,502.64x = 3,222,567.84
  5. Step 5: Solve for x
    x = 3,222,567.84/2,502.64
  6. Step 6: Final answer
    x = 1,287.67

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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.