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Finding the Fourth Proportional to 1,637.64, 2,459.60 and 1,403.90

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Solution

The fourth proportional to 1,637.64, 2,459.60 and 1,403.90 is: 2,108.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.64 : 2,459.60 = 1,403.90 : x
  2. Step 2: Convert to fraction form
    1,637.64/2,459.60 = 1,403.90/x
  3. Step 3: Cross multiply
    1,637.64x = 2,459.60 × 1,403.90
  4. Step 4: Simplify right side
    1,637.64x = 3,453,013.12
  5. Step 5: Solve for x
    x = 3,453,013.12/1,637.64
  6. Step 6: Final answer
    x = 2,108.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.