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Finding the Fourth Proportional to 2,588.48, 3,572.07 and 1,409.55

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Solution

The fourth proportional to 2,588.48, 3,572.07 and 1,409.55 is: 1,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.48 : 3,572.07 = 1,409.55 : x
  2. Step 2: Convert to fraction form
    2,588.48/3,572.07 = 1,409.55/x
  3. Step 3: Cross multiply
    2,588.48x = 3,572.07 × 1,409.55
  4. Step 4: Simplify right side
    2,588.48x = 5,035,011.27
  5. Step 5: Solve for x
    x = 5,035,011.27/2,588.48
  6. Step 6: Final answer
    x = 1,945.16

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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.