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Finding the Fourth Proportional to 2,511.55, 3,465.95 and 1,392.50

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Solution

The fourth proportional to 2,511.55, 3,465.95 and 1,392.50 is: 1,921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.55 : 3,465.95 = 1,392.50 : x
  2. Step 2: Convert to fraction form
    2,511.55/3,465.95 = 1,392.50/x
  3. Step 3: Cross multiply
    2,511.55x = 3,465.95 × 1,392.50
  4. Step 4: Simplify right side
    2,511.55x = 4,826,335.38
  5. Step 5: Solve for x
    x = 4,826,335.38/2,511.55
  6. Step 6: Final answer
    x = 1,921.66

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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.