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Finding the Fourth Proportional to 2,891.79, 4,334.54 and 1,407.87

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Solution

The fourth proportional to 2,891.79, 4,334.54 and 1,407.87 is: 2,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.79 : 4,334.54 = 1,407.87 : x
  2. Step 2: Convert to fraction form
    2,891.79/4,334.54 = 1,407.87/x
  3. Step 3: Cross multiply
    2,891.79x = 4,334.54 × 1,407.87
  4. Step 4: Simplify right side
    2,891.79x = 6,102,461.79
  5. Step 5: Solve for x
    x = 6,102,461.79/2,891.79
  6. Step 6: Final answer
    x = 2,110.27

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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.