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Finding the Fourth Proportional to 2,588.47, 3,572.12 and 1,409.54

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Solution

The fourth proportional to 2,588.47, 3,572.12 and 1,409.54 is: 1,945.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.47 : 3,572.12 = 1,409.54 : x
  2. Step 2: Convert to fraction form
    2,588.47/3,572.12 = 1,409.54/x
  3. Step 3: Cross multiply
    2,588.47x = 3,572.12 × 1,409.54
  4. Step 4: Simplify right side
    2,588.47x = 5,035,031.69
  5. Step 5: Solve for x
    x = 5,035,031.69/2,588.47
  6. Step 6: Final answer
    x = 1,945.18

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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.