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Finding the Fourth Proportional to 1,882.55, 2,596.62 and 1,292.06

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Solution

The fourth proportional to 1,882.55, 2,596.62 and 1,292.06 is: 1,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.55 : 2,596.62 = 1,292.06 : x
  2. Step 2: Convert to fraction form
    1,882.55/2,596.62 = 1,292.06/x
  3. Step 3: Cross multiply
    1,882.55x = 2,596.62 × 1,292.06
  4. Step 4: Simplify right side
    1,882.55x = 3,354,988.84
  5. Step 5: Solve for x
    x = 3,354,988.84/1,882.55
  6. Step 6: Final answer
    x = 1,782.15

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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.