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Finding the Fourth Proportional to 1,637.57, 2,258.05 and 1,425.86

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Solution

The fourth proportional to 1,637.57, 2,258.05 and 1,425.86 is: 1,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.57 : 2,258.05 = 1,425.86 : x
  2. Step 2: Convert to fraction form
    1,637.57/2,258.05 = 1,425.86/x
  3. Step 3: Cross multiply
    1,637.57x = 2,258.05 × 1,425.86
  4. Step 4: Simplify right side
    1,637.57x = 3,219,651.88
  5. Step 5: Solve for x
    x = 3,219,651.88/1,637.57
  6. Step 6: Final answer
    x = 1,966.12

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