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Finding the Fourth Proportional to 2,588.85, 3,572.63 and 1,409.89

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Solution

The fourth proportional to 2,588.85, 3,572.63 and 1,409.89 is: 1,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.85 : 3,572.63 = 1,409.89 : x
  2. Step 2: Convert to fraction form
    2,588.85/3,572.63 = 1,409.89/x
  3. Step 3: Cross multiply
    2,588.85x = 3,572.63 × 1,409.89
  4. Step 4: Simplify right side
    2,588.85x = 5,037,015.31
  5. Step 5: Solve for x
    x = 5,037,015.31/2,588.85
  6. Step 6: Final answer
    x = 1,945.66

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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.