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Finding the Fourth Proportional to 1,282.16, 1,767.90 and 1,095.08

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Solution

The fourth proportional to 1,282.16, 1,767.90 and 1,095.08 is: 1,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.16 : 1,767.90 = 1,095.08 : x
  2. Step 2: Convert to fraction form
    1,282.16/1,767.90 = 1,095.08/x
  3. Step 3: Cross multiply
    1,282.16x = 1,767.90 × 1,095.08
  4. Step 4: Simplify right side
    1,282.16x = 1,935,991.93
  5. Step 5: Solve for x
    x = 1,935,991.93/1,282.16
  6. Step 6: Final answer
    x = 1,509.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.