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Finding the Fourth Proportional to 2,353.48, 3,531.11 and 1,054.01

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Solution

The fourth proportional to 2,353.48, 3,531.11 and 1,054.01 is: 1,581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.48 : 3,531.11 = 1,054.01 : x
  2. Step 2: Convert to fraction form
    2,353.48/3,531.11 = 1,054.01/x
  3. Step 3: Cross multiply
    2,353.48x = 3,531.11 × 1,054.01
  4. Step 4: Simplify right side
    2,353.48x = 3,721,825.25
  5. Step 5: Solve for x
    x = 3,721,825.25/2,353.48
  6. Step 6: Final answer
    x = 1,581.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.