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Finding the Fourth Proportional to 1,438.64, 2,157.64 and 561.17

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Solution

The fourth proportional to 1,438.64, 2,157.64 and 561.17 is: 841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.64 : 2,157.64 = 561.17 : x
  2. Step 2: Convert to fraction form
    1,438.64/2,157.64 = 561.17/x
  3. Step 3: Cross multiply
    1,438.64x = 2,157.64 × 561.17
  4. Step 4: Simplify right side
    1,438.64x = 1,210,789.24
  5. Step 5: Solve for x
    x = 1,210,789.24/1,438.64
  6. Step 6: Final answer
    x = 841.62

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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.