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Finding the Fourth Proportional to 1,282.77, 1,925.10 and 1,206.23

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Solution

The fourth proportional to 1,282.77, 1,925.10 and 1,206.23 is: 1,810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.77 : 1,925.10 = 1,206.23 : x
  2. Step 2: Convert to fraction form
    1,282.77/1,925.10 = 1,206.23/x
  3. Step 3: Cross multiply
    1,282.77x = 1,925.10 × 1,206.23
  4. Step 4: Simplify right side
    1,282.77x = 2,322,113.37
  5. Step 5: Solve for x
    x = 2,322,113.37/1,282.77
  6. Step 6: Final answer
    x = 1,810.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.