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Finding the Fourth Proportional to 3,075.93, 4,613.15 and 1,431.63

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Solution

The fourth proportional to 3,075.93, 4,613.15 and 1,431.63 is: 2,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.93 : 4,613.15 = 1,431.63 : x
  2. Step 2: Convert to fraction form
    3,075.93/4,613.15 = 1,431.63/x
  3. Step 3: Cross multiply
    3,075.93x = 4,613.15 × 1,431.63
  4. Step 4: Simplify right side
    3,075.93x = 6,604,327.51
  5. Step 5: Solve for x
    x = 6,604,327.51/3,075.93
  6. Step 6: Final answer
    x = 2,147.10

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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.