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Finding the Fourth Proportional to 2,095.06, 2,891.13 and 1,163.50

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Solution

The fourth proportional to 2,095.06, 2,891.13 and 1,163.50 is: 1,605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.06 : 2,891.13 = 1,163.50 : x
  2. Step 2: Convert to fraction form
    2,095.06/2,891.13 = 1,163.50/x
  3. Step 3: Cross multiply
    2,095.06x = 2,891.13 × 1,163.50
  4. Step 4: Simplify right side
    2,095.06x = 3,363,829.76
  5. Step 5: Solve for x
    x = 3,363,829.76/2,095.06
  6. Step 6: Final answer
    x = 1,605.60

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1.5x scale

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.