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Finding the Fourth Proportional to 2,307.47, 3,463.26 and 1,075.57

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Solution

The fourth proportional to 2,307.47, 3,463.26 and 1,075.57 is: 1,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.47 : 3,463.26 = 1,075.57 : x
  2. Step 2: Convert to fraction form
    2,307.47/3,463.26 = 1,075.57/x
  3. Step 3: Cross multiply
    2,307.47x = 3,463.26 × 1,075.57
  4. Step 4: Simplify right side
    2,307.47x = 3,724,965.87
  5. Step 5: Solve for x
    x = 3,724,965.87/2,307.47
  6. Step 6: Final answer
    x = 1,614.31

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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.