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Finding the Fourth Proportional to 3,075.76, 4,613.19 and 1,432.81

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Solution

The fourth proportional to 3,075.76, 4,613.19 and 1,432.81 is: 2,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.76 : 4,613.19 = 1,432.81 : x
  2. Step 2: Convert to fraction form
    3,075.76/4,613.19 = 1,432.81/x
  3. Step 3: Cross multiply
    3,075.76x = 4,613.19 × 1,432.81
  4. Step 4: Simplify right side
    3,075.76x = 6,609,824.76
  5. Step 5: Solve for x
    x = 6,609,824.76/3,075.76
  6. Step 6: Final answer
    x = 2,149.01

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