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Finding the Fourth Proportional to 2,269.71, 3,129.98 and 1,561.50

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Solution

The fourth proportional to 2,269.71, 3,129.98 and 1,561.50 is: 2,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.71 : 3,129.98 = 1,561.50 : x
  2. Step 2: Convert to fraction form
    2,269.71/3,129.98 = 1,561.50/x
  3. Step 3: Cross multiply
    2,269.71x = 3,129.98 × 1,561.50
  4. Step 4: Simplify right side
    2,269.71x = 4,887,455.96
  5. Step 5: Solve for x
    x = 4,887,455.96/2,269.71
  6. Step 6: Final answer
    x = 2,153.34

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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.