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Finding the Fourth Proportional to 2,291.62, 3,165.06 and 1,509.16

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Solution

The fourth proportional to 2,291.62, 3,165.06 and 1,509.16 is: 2,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.62 : 3,165.06 = 1,509.16 : x
  2. Step 2: Convert to fraction form
    2,291.62/3,165.06 = 1,509.16/x
  3. Step 3: Cross multiply
    2,291.62x = 3,165.06 × 1,509.16
  4. Step 4: Simplify right side
    2,291.62x = 4,776,581.95
  5. Step 5: Solve for x
    x = 4,776,581.95/2,291.62
  6. Step 6: Final answer
    x = 2,084.37

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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.