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Finding the Fourth Proportional to 2,557.59, 3,526.25 and 1,671.99

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Solution

The fourth proportional to 2,557.59, 3,526.25 and 1,671.99 is: 2,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.59 : 3,526.25 = 1,671.99 : x
  2. Step 2: Convert to fraction form
    2,557.59/3,526.25 = 1,671.99/x
  3. Step 3: Cross multiply
    2,557.59x = 3,526.25 × 1,671.99
  4. Step 4: Simplify right side
    2,557.59x = 5,895,846.38
  5. Step 5: Solve for x
    x = 5,895,846.38/2,557.59
  6. Step 6: Final answer
    x = 2,305.24

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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.