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Finding the Fourth Proportional to 2,277.04, 3,415.56 and 633.60

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Solution

The fourth proportional to 2,277.04, 3,415.56 and 633.60 is: 950.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.04 : 3,415.56 = 633.60 : x
  2. Step 2: Convert to fraction form
    2,277.04/3,415.56 = 633.60/x
  3. Step 3: Cross multiply
    2,277.04x = 3,415.56 × 633.60
  4. Step 4: Simplify right side
    2,277.04x = 2,164,098.82
  5. Step 5: Solve for x
    x = 2,164,098.82/2,277.04
  6. Step 6: Final answer
    x = 950.40

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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.