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Finding the Fourth Proportional to 1,509.96, 2,083.64 and 880.59

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Solution

The fourth proportional to 1,509.96, 2,083.64 and 880.59 is: 1,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.96 : 2,083.64 = 880.59 : x
  2. Step 2: Convert to fraction form
    1,509.96/2,083.64 = 880.59/x
  3. Step 3: Cross multiply
    1,509.96x = 2,083.64 × 880.59
  4. Step 4: Simplify right side
    1,509.96x = 1,834,832.55
  5. Step 5: Solve for x
    x = 1,834,832.55/1,509.96
  6. Step 6: Final answer
    x = 1,215.15

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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.