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Finding the Fourth Proportional to 2,202.64, 3,038.52 and 1,677.76

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Solution

The fourth proportional to 2,202.64, 3,038.52 and 1,677.76 is: 2,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.64 : 3,038.52 = 1,677.76 : x
  2. Step 2: Convert to fraction form
    2,202.64/3,038.52 = 1,677.76/x
  3. Step 3: Cross multiply
    2,202.64x = 3,038.52 × 1,677.76
  4. Step 4: Simplify right side
    2,202.64x = 5,097,907.32
  5. Step 5: Solve for x
    x = 5,097,907.32/2,202.64
  6. Step 6: Final answer
    x = 2,314.45

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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.