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Finding the Fourth Proportional to 2,337.07, 3,225.14 and 1,289.14

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Solution

The fourth proportional to 2,337.07, 3,225.14 and 1,289.14 is: 1,779.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.07 : 3,225.14 = 1,289.14 : x
  2. Step 2: Convert to fraction form
    2,337.07/3,225.14 = 1,289.14/x
  3. Step 3: Cross multiply
    2,337.07x = 3,225.14 × 1,289.14
  4. Step 4: Simplify right side
    2,337.07x = 4,157,656.98
  5. Step 5: Solve for x
    x = 4,157,656.98/2,337.07
  6. Step 6: Final answer
    x = 1,779.00

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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.