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Finding the Fourth Proportional to 1,503.12, 2,074.08 and 882

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Solution

The fourth proportional to 1,503.12, 2,074.08 and 882 is: 1,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.12 : 2,074.08 = 882 : x
  2. Step 2: Convert to fraction form
    1,503.12/2,074.08 = 882/x
  3. Step 3: Cross multiply
    1,503.12x = 2,074.08 × 882
  4. Step 4: Simplify right side
    1,503.12x = 1,829,338.56
  5. Step 5: Solve for x
    x = 1,829,338.56/1,503.12
  6. Step 6: Final answer
    x = 1,217.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.