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Finding the Fourth Proportional to 2,188.95, 3,267.55 and 1,882.77

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Solution

The fourth proportional to 2,188.95, 3,267.55 and 1,882.77 is: 2,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.95 : 3,267.55 = 1,882.77 : x
  2. Step 2: Convert to fraction form
    2,188.95/3,267.55 = 1,882.77/x
  3. Step 3: Cross multiply
    2,188.95x = 3,267.55 × 1,882.77
  4. Step 4: Simplify right side
    2,188.95x = 6,152,045.11
  5. Step 5: Solve for x
    x = 6,152,045.11/2,188.95
  6. Step 6: Final answer
    x = 2,810.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.