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Finding the Fourth Proportional to 2,287.35, 3,155.13 and 1,916.19

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Solution

The fourth proportional to 2,287.35, 3,155.13 and 1,916.19 is: 2,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.35 : 3,155.13 = 1,916.19 : x
  2. Step 2: Convert to fraction form
    2,287.35/3,155.13 = 1,916.19/x
  3. Step 3: Cross multiply
    2,287.35x = 3,155.13 × 1,916.19
  4. Step 4: Simplify right side
    2,287.35x = 6,045,828.55
  5. Step 5: Solve for x
    x = 6,045,828.55/2,287.35
  6. Step 6: Final answer
    x = 2,643.16

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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.