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Finding the Fourth Proportional to 3,075.29, 4,613.82 and 1,827.02

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Solution

The fourth proportional to 3,075.29, 4,613.82 and 1,827.02 is: 2,741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.29 : 4,613.82 = 1,827.02 : x
  2. Step 2: Convert to fraction form
    3,075.29/4,613.82 = 1,827.02/x
  3. Step 3: Cross multiply
    3,075.29x = 4,613.82 × 1,827.02
  4. Step 4: Simplify right side
    3,075.29x = 8,429,541.42
  5. Step 5: Solve for x
    x = 8,429,541.42/3,075.29
  6. Step 6: Final answer
    x = 2,741.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.