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Finding the Fourth Proportional to 2,151.29, 2,967.93 and 1,405.01

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Solution

The fourth proportional to 2,151.29, 2,967.93 and 1,405.01 is: 1,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.29 : 2,967.93 = 1,405.01 : x
  2. Step 2: Convert to fraction form
    2,151.29/2,967.93 = 1,405.01/x
  3. Step 3: Cross multiply
    2,151.29x = 2,967.93 × 1,405.01
  4. Step 4: Simplify right side
    2,151.29x = 4,169,971.33
  5. Step 5: Solve for x
    x = 4,169,971.33/2,151.29
  6. Step 6: Final answer
    x = 1,938.36

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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.