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Finding the Fourth Proportional to 3,223.20, 4,830.72 and 1,904.40

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Solution

The fourth proportional to 3,223.20, 4,830.72 and 1,904.40 is: 2,854.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.20 : 4,830.72 = 1,904.40 : x
  2. Step 2: Convert to fraction form
    3,223.20/4,830.72 = 1,904.40/x
  3. Step 3: Cross multiply
    3,223.20x = 4,830.72 × 1,904.40
  4. Step 4: Simplify right side
    3,223.20x = 9,199,623.17
  5. Step 5: Solve for x
    x = 9,199,623.17/3,223.20
  6. Step 6: Final answer
    x = 2,854.19

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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.