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Finding the Fourth Proportional to 2,374.57, 3,563.07 and 1,075.87

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Solution

The fourth proportional to 2,374.57, 3,563.07 and 1,075.87 is: 1,614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.57 : 3,563.07 = 1,075.87 : x
  2. Step 2: Convert to fraction form
    2,374.57/3,563.07 = 1,075.87/x
  3. Step 3: Cross multiply
    2,374.57x = 3,563.07 × 1,075.87
  4. Step 4: Simplify right side
    2,374.57x = 3,833,400.12
  5. Step 5: Solve for x
    x = 3,833,400.12/2,374.57
  6. Step 6: Final answer
    x = 1,614.36

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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.