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Finding the Fourth Proportional to 2,092.50, 2,887.65 and 1,595.70

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Solution

The fourth proportional to 2,092.50, 2,887.65 and 1,595.70 is: 2,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.50 : 2,887.65 = 1,595.70 : x
  2. Step 2: Convert to fraction form
    2,092.50/2,887.65 = 1,595.70/x
  3. Step 3: Cross multiply
    2,092.50x = 2,887.65 × 1,595.70
  4. Step 4: Simplify right side
    2,092.50x = 4,607,823.11
  5. Step 5: Solve for x
    x = 4,607,823.11/2,092.50
  6. Step 6: Final answer
    x = 2,202.07

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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.