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Finding the Fourth Proportional to 2,532.55, 3,795.39 and 971.11

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Solution

The fourth proportional to 2,532.55, 3,795.39 and 971.11 is: 1,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.55 : 3,795.39 = 971.11 : x
  2. Step 2: Convert to fraction form
    2,532.55/3,795.39 = 971.11/x
  3. Step 3: Cross multiply
    2,532.55x = 3,795.39 × 971.11
  4. Step 4: Simplify right side
    2,532.55x = 3,685,741.18
  5. Step 5: Solve for x
    x = 3,685,741.18/2,532.55
  6. Step 6: Final answer
    x = 1,455.35

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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.