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Finding the Fourth Proportional to 2,856.90, 4,284.21 and 1,100.93

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Solution

The fourth proportional to 2,856.90, 4,284.21 and 1,100.93 is: 1,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.90 : 4,284.21 = 1,100.93 : x
  2. Step 2: Convert to fraction form
    2,856.90/4,284.21 = 1,100.93/x
  3. Step 3: Cross multiply
    2,856.90x = 4,284.21 × 1,100.93
  4. Step 4: Simplify right side
    2,856.90x = 4,716,615.32
  5. Step 5: Solve for x
    x = 4,716,615.32/2,856.90
  6. Step 6: Final answer
    x = 1,650.96

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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.