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Finding the Fourth Proportional to 2,264.09, 3,123.50 and 1,600.70

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Solution

The fourth proportional to 2,264.09, 3,123.50 and 1,600.70 is: 2,208.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.09 : 3,123.50 = 1,600.70 : x
  2. Step 2: Convert to fraction form
    2,264.09/3,123.50 = 1,600.70/x
  3. Step 3: Cross multiply
    2,264.09x = 3,123.50 × 1,600.70
  4. Step 4: Simplify right side
    2,264.09x = 4,999,762.83
  5. Step 5: Solve for x
    x = 4,999,762.83/2,264.09
  6. Step 6: Final answer
    x = 2,208.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.