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Finding the Fourth Proportional to 1,509.69, 2,084.18 and 1,177.32

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Solution

The fourth proportional to 1,509.69, 2,084.18 and 1,177.32 is: 1,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.69 : 2,084.18 = 1,177.32 : x
  2. Step 2: Convert to fraction form
    1,509.69/2,084.18 = 1,177.32/x
  3. Step 3: Cross multiply
    1,509.69x = 2,084.18 × 1,177.32
  4. Step 4: Simplify right side
    1,509.69x = 2,453,741.59
  5. Step 5: Solve for x
    x = 2,453,741.59/1,509.69
  6. Step 6: Final answer
    x = 1,625.33

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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.