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Finding the Fourth Proportional to 1,827.78, 2,522.79 and 1,332.06

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Solution

The fourth proportional to 1,827.78, 2,522.79 and 1,332.06 is: 1,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.78 : 2,522.79 = 1,332.06 : x
  2. Step 2: Convert to fraction form
    1,827.78/2,522.79 = 1,332.06/x
  3. Step 3: Cross multiply
    1,827.78x = 2,522.79 × 1,332.06
  4. Step 4: Simplify right side
    1,827.78x = 3,360,507.65
  5. Step 5: Solve for x
    x = 3,360,507.65/1,827.78
  6. Step 6: Final answer
    x = 1,838.57

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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.