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Finding the Fourth Proportional to 1,438.80, 2,156.64 and 788.64

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Solution

The fourth proportional to 1,438.80, 2,156.64 and 788.64 is: 1,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.80 : 2,156.64 = 788.64 : x
  2. Step 2: Convert to fraction form
    1,438.80/2,156.64 = 788.64/x
  3. Step 3: Cross multiply
    1,438.80x = 2,156.64 × 788.64
  4. Step 4: Simplify right side
    1,438.80x = 1,700,812.57
  5. Step 5: Solve for x
    x = 1,700,812.57/1,438.80
  6. Step 6: Final answer
    x = 1,182.10

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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.