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Finding the Fourth Proportional to 2,588.61, 3,572.30 and 1,409.68

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Solution

The fourth proportional to 2,588.61, 3,572.30 and 1,409.68 is: 1,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.61 : 3,572.30 = 1,409.68 : x
  2. Step 2: Convert to fraction form
    2,588.61/3,572.30 = 1,409.68/x
  3. Step 3: Cross multiply
    2,588.61x = 3,572.30 × 1,409.68
  4. Step 4: Simplify right side
    2,588.61x = 5,035,799.86
  5. Step 5: Solve for x
    x = 5,035,799.86/2,588.61
  6. Step 6: Final answer
    x = 1,945.37

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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.