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Finding the Fourth Proportional to 3,452.61, 4,764.63 and 1,880.71

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Solution

The fourth proportional to 3,452.61, 4,764.63 and 1,880.71 is: 2,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.61 : 4,764.63 = 1,880.71 : x
  2. Step 2: Convert to fraction form
    3,452.61/4,764.63 = 1,880.71/x
  3. Step 3: Cross multiply
    3,452.61x = 4,764.63 × 1,880.71
  4. Step 4: Simplify right side
    3,452.61x = 8,960,863.46
  5. Step 5: Solve for x
    x = 8,960,863.46/3,452.61
  6. Step 6: Final answer
    x = 2,595.39

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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.