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Finding the Fourth Proportional to 1,557.99, 2,149.64 and 928.11

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Solution

The fourth proportional to 1,557.99, 2,149.64 and 928.11 is: 1,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.99 : 2,149.64 = 928.11 : x
  2. Step 2: Convert to fraction form
    1,557.99/2,149.64 = 928.11/x
  3. Step 3: Cross multiply
    1,557.99x = 2,149.64 × 928.11
  4. Step 4: Simplify right side
    1,557.99x = 1,995,104.70
  5. Step 5: Solve for x
    x = 1,995,104.70/1,557.99
  6. Step 6: Final answer
    x = 1,280.56

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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.