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Finding the Fourth Proportional to 3,203.65, 4,421.88 and 2,259.72

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Solution

The fourth proportional to 3,203.65, 4,421.88 and 2,259.72 is: 3,119.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.65 : 4,421.88 = 2,259.72 : x
  2. Step 2: Convert to fraction form
    3,203.65/4,421.88 = 2,259.72/x
  3. Step 3: Cross multiply
    3,203.65x = 4,421.88 × 2,259.72
  4. Step 4: Simplify right side
    3,203.65x = 9,992,210.67
  5. Step 5: Solve for x
    x = 9,992,210.67/3,203.65
  6. Step 6: Final answer
    x = 3,119.01

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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.