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Finding the Fourth Proportional to 1,293.12, 1,782.72 and 1,095.84

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Solution

The fourth proportional to 1,293.12, 1,782.72 and 1,095.84 is: 1,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.12 : 1,782.72 = 1,095.84 : x
  2. Step 2: Convert to fraction form
    1,293.12/1,782.72 = 1,095.84/x
  3. Step 3: Cross multiply
    1,293.12x = 1,782.72 × 1,095.84
  4. Step 4: Simplify right side
    1,293.12x = 1,953,575.88
  5. Step 5: Solve for x
    x = 1,953,575.88/1,293.12
  6. Step 6: Final answer
    x = 1,510.75

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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.