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Finding the Fourth Proportional to 2,588.53, 3,572.19 and 1,409.60

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Solution

The fourth proportional to 2,588.53, 3,572.19 and 1,409.60 is: 1,945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.53 : 3,572.19 = 1,409.60 : x
  2. Step 2: Convert to fraction form
    2,588.53/3,572.19 = 1,409.60/x
  3. Step 3: Cross multiply
    2,588.53x = 3,572.19 × 1,409.60
  4. Step 4: Simplify right side
    2,588.53x = 5,035,341.16
  5. Step 5: Solve for x
    x = 5,035,341.16/2,588.53
  6. Step 6: Final answer
    x = 1,945.25

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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.