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Finding the Fourth Proportional to 2,588.41, 3,572.01 and 1,409.48

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Solution

The fourth proportional to 2,588.41, 3,572.01 and 1,409.48 is: 1,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.41 : 3,572.01 = 1,409.48 : x
  2. Step 2: Convert to fraction form
    2,588.41/3,572.01 = 1,409.48/x
  3. Step 3: Cross multiply
    2,588.41x = 3,572.01 × 1,409.48
  4. Step 4: Simplify right side
    2,588.41x = 5,034,676.65
  5. Step 5: Solve for x
    x = 5,034,676.65/2,588.41
  6. Step 6: Final answer
    x = 1,945.08

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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.