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Finding the Fourth Proportional to 2,903.64, 4,353.60 and 1,606.02

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Solution

The fourth proportional to 2,903.64, 4,353.60 and 1,606.02 is: 2,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.64 : 4,353.60 = 1,606.02 : x
  2. Step 2: Convert to fraction form
    2,903.64/4,353.60 = 1,606.02/x
  3. Step 3: Cross multiply
    2,903.64x = 4,353.60 × 1,606.02
  4. Step 4: Simplify right side
    2,903.64x = 6,991,968.67
  5. Step 5: Solve for x
    x = 6,991,968.67/2,903.64
  6. Step 6: Final answer
    x = 2,408.00

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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.