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Finding the Fourth Proportional to 1,882.77, 2,592.43 and 1,672.58

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Solution

The fourth proportional to 1,882.77, 2,592.43 and 1,672.58 is: 2,303.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.77 : 2,592.43 = 1,672.58 : x
  2. Step 2: Convert to fraction form
    1,882.77/2,592.43 = 1,672.58/x
  3. Step 3: Cross multiply
    1,882.77x = 2,592.43 × 1,672.58
  4. Step 4: Simplify right side
    1,882.77x = 4,336,038.21
  5. Step 5: Solve for x
    x = 4,336,038.21/1,882.77
  6. Step 6: Final answer
    x = 2,303.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.