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Finding the Fourth Proportional to 2,588.94, 3,572.82 and 1,410.03

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Solution

The fourth proportional to 2,588.94, 3,572.82 and 1,410.03 is: 1,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.94 : 3,572.82 = 1,410.03 : x
  2. Step 2: Convert to fraction form
    2,588.94/3,572.82 = 1,410.03/x
  3. Step 3: Cross multiply
    2,588.94x = 3,572.82 × 1,410.03
  4. Step 4: Simplify right side
    2,588.94x = 5,037,783.38
  5. Step 5: Solve for x
    x = 5,037,783.38/2,588.94
  6. Step 6: Final answer
    x = 1,945.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.