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Finding the Fourth Proportional to 1,827.66, 2,525.48 and 1,302.78

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Solution

The fourth proportional to 1,827.66, 2,525.48 and 1,302.78 is: 1,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.66 : 2,525.48 = 1,302.78 : x
  2. Step 2: Convert to fraction form
    1,827.66/2,525.48 = 1,302.78/x
  3. Step 3: Cross multiply
    1,827.66x = 2,525.48 × 1,302.78
  4. Step 4: Simplify right side
    1,827.66x = 3,290,144.83
  5. Step 5: Solve for x
    x = 3,290,144.83/1,827.66
  6. Step 6: Final answer
    x = 1,800.20

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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.