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Finding the Fourth Proportional to 1,868.65, 2,573.10 and 1,827.64

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Solution

The fourth proportional to 1,868.65, 2,573.10 and 1,827.64 is: 2,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.65 : 2,573.10 = 1,827.64 : x
  2. Step 2: Convert to fraction form
    1,868.65/2,573.10 = 1,827.64/x
  3. Step 3: Cross multiply
    1,868.65x = 2,573.10 × 1,827.64
  4. Step 4: Simplify right side
    1,868.65x = 4,702,703.70
  5. Step 5: Solve for x
    x = 4,702,703.70/1,868.65
  6. Step 6: Final answer
    x = 2,516.63

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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.