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Finding the Fourth Proportional to 2,348.55, 3,522.96 and 887.67

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Solution

The fourth proportional to 2,348.55, 3,522.96 and 887.67 is: 1,331.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.55 : 3,522.96 = 887.67 : x
  2. Step 2: Convert to fraction form
    2,348.55/3,522.96 = 887.67/x
  3. Step 3: Cross multiply
    2,348.55x = 3,522.96 × 887.67
  4. Step 4: Simplify right side
    2,348.55x = 3,127,225.90
  5. Step 5: Solve for x
    x = 3,127,225.90/2,348.55
  6. Step 6: Final answer
    x = 1,331.56

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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.