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Finding the Fourth Proportional to 2,337.06, 3,225.16 and 1,289.16

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Solution

The fourth proportional to 2,337.06, 3,225.16 and 1,289.16 is: 1,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.06 : 3,225.16 = 1,289.16 : x
  2. Step 2: Convert to fraction form
    2,337.06/3,225.16 = 1,289.16/x
  3. Step 3: Cross multiply
    2,337.06x = 3,225.16 × 1,289.16
  4. Step 4: Simplify right side
    2,337.06x = 4,157,747.27
  5. Step 5: Solve for x
    x = 4,157,747.27/2,337.06
  6. Step 6: Final answer
    x = 1,779.05

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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.