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Finding the Fourth Proportional to 2,095.77, 2,891.76 and 1,424.11

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Solution

The fourth proportional to 2,095.77, 2,891.76 and 1,424.11 is: 1,964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.77 : 2,891.76 = 1,424.11 : x
  2. Step 2: Convert to fraction form
    2,095.77/2,891.76 = 1,424.11/x
  3. Step 3: Cross multiply
    2,095.77x = 2,891.76 × 1,424.11
  4. Step 4: Simplify right side
    2,095.77x = 4,118,174.35
  5. Step 5: Solve for x
    x = 4,118,174.35/2,095.77
  6. Step 6: Final answer
    x = 1,964.99

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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.