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Finding the Fourth Proportional to 1,509.49, 2,083.50 and 880.27

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Solution

The fourth proportional to 1,509.49, 2,083.50 and 880.27 is: 1,215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.49 : 2,083.50 = 880.27 : x
  2. Step 2: Convert to fraction form
    1,509.49/2,083.50 = 880.27/x
  3. Step 3: Cross multiply
    1,509.49x = 2,083.50 × 880.27
  4. Step 4: Simplify right side
    1,509.49x = 1,834,034.86
  5. Step 5: Solve for x
    x = 1,834,034.86/1,509.49
  6. Step 6: Final answer
    x = 1,215.01

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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.