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Finding the Fourth Proportional to 2,376.57, 3,559.48 and 1,144.87

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Solution

The fourth proportional to 2,376.57, 3,559.48 and 1,144.87 is: 1,714.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.57 : 3,559.48 = 1,144.87 : x
  2. Step 2: Convert to fraction form
    2,376.57/3,559.48 = 1,144.87/x
  3. Step 3: Cross multiply
    2,376.57x = 3,559.48 × 1,144.87
  4. Step 4: Simplify right side
    2,376.57x = 4,075,130.11
  5. Step 5: Solve for x
    x = 4,075,130.11/2,376.57
  6. Step 6: Final answer
    x = 1,714.71

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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.