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Finding the Fourth Proportional to 2,071.16, 3,107.18 and 610.19

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Solution

The fourth proportional to 2,071.16, 3,107.18 and 610.19 is: 915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.16 : 3,107.18 = 610.19 : x
  2. Step 2: Convert to fraction form
    2,071.16/3,107.18 = 610.19/x
  3. Step 3: Cross multiply
    2,071.16x = 3,107.18 × 610.19
  4. Step 4: Simplify right side
    2,071.16x = 1,895,970.16
  5. Step 5: Solve for x
    x = 1,895,970.16/2,071.16
  6. Step 6: Final answer
    x = 915.41

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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.