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Finding the Fourth Proportional to 2,557.40, 3,526.90 and 1,671.66

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Solution

The fourth proportional to 2,557.40, 3,526.90 and 1,671.66 is: 2,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.40 : 3,526.90 = 1,671.66 : x
  2. Step 2: Convert to fraction form
    2,557.40/3,526.90 = 1,671.66/x
  3. Step 3: Cross multiply
    2,557.40x = 3,526.90 × 1,671.66
  4. Step 4: Simplify right side
    2,557.40x = 5,895,773.47
  5. Step 5: Solve for x
    x = 5,895,773.47/2,557.40
  6. Step 6: Final answer
    x = 2,305.38

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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.