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Finding the Fourth Proportional to 2,203.60, 3,303.80 and 904.40

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Solution

The fourth proportional to 2,203.60, 3,303.80 and 904.40 is: 1,355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.60 : 3,303.80 = 904.40 : x
  2. Step 2: Convert to fraction form
    2,203.60/3,303.80 = 904.40/x
  3. Step 3: Cross multiply
    2,203.60x = 3,303.80 × 904.40
  4. Step 4: Simplify right side
    2,203.60x = 2,987,956.72
  5. Step 5: Solve for x
    x = 2,987,956.72/2,203.60
  6. Step 6: Final answer
    x = 1,355.94

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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.