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Finding the Fourth Proportional to 2,307.87, 3,462.62 and 1,075.19

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Solution

The fourth proportional to 2,307.87, 3,462.62 and 1,075.19 is: 1,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.87 : 3,462.62 = 1,075.19 : x
  2. Step 2: Convert to fraction form
    2,307.87/3,462.62 = 1,075.19/x
  3. Step 3: Cross multiply
    2,307.87x = 3,462.62 × 1,075.19
  4. Step 4: Simplify right side
    2,307.87x = 3,722,951.71
  5. Step 5: Solve for x
    x = 3,722,951.71/2,307.87
  6. Step 6: Final answer
    x = 1,613.15

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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.