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Finding the Fourth Proportional to 2,588.84, 3,572.49 and 1,409.91

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Solution

The fourth proportional to 2,588.84, 3,572.49 and 1,409.91 is: 1,945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.84 : 3,572.49 = 1,409.91 : x
  2. Step 2: Convert to fraction form
    2,588.84/3,572.49 = 1,409.91/x
  3. Step 3: Cross multiply
    2,588.84x = 3,572.49 × 1,409.91
  4. Step 4: Simplify right side
    2,588.84x = 5,036,873.34
  5. Step 5: Solve for x
    x = 5,036,873.34/2,588.84
  6. Step 6: Final answer
    x = 1,945.61

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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.