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Finding the Fourth Proportional to 1,509.40, 2,265.05 and 815.77

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Solution

The fourth proportional to 1,509.40, 2,265.05 and 815.77 is: 1,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.40 : 2,265.05 = 815.77 : x
  2. Step 2: Convert to fraction form
    1,509.40/2,265.05 = 815.77/x
  3. Step 3: Cross multiply
    1,509.40x = 2,265.05 × 815.77
  4. Step 4: Simplify right side
    1,509.40x = 1,847,759.84
  5. Step 5: Solve for x
    x = 1,847,759.84/1,509.40
  6. Step 6: Final answer
    x = 1,224.17

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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.