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Finding the Fourth Proportional to 1,509.14, 2,081.14 and 1,177.45

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Solution

The fourth proportional to 1,509.14, 2,081.14 and 1,177.45 is: 1,623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.14 : 2,081.14 = 1,177.45 : x
  2. Step 2: Convert to fraction form
    1,509.14/2,081.14 = 1,177.45/x
  3. Step 3: Cross multiply
    1,509.14x = 2,081.14 × 1,177.45
  4. Step 4: Simplify right side
    1,509.14x = 2,450,430.15
  5. Step 5: Solve for x
    x = 2,450,430.15/1,509.14
  6. Step 6: Final answer
    x = 1,623.72

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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.