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Finding the Fourth Proportional to 1,915.34, 2,643.21 and 1,496.16

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Solution

The fourth proportional to 1,915.34, 2,643.21 and 1,496.16 is: 2,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.34 : 2,643.21 = 1,496.16 : x
  2. Step 2: Convert to fraction form
    1,915.34/2,643.21 = 1,496.16/x
  3. Step 3: Cross multiply
    1,915.34x = 2,643.21 × 1,496.16
  4. Step 4: Simplify right side
    1,915.34x = 3,954,665.07
  5. Step 5: Solve for x
    x = 3,954,665.07/1,915.34
  6. Step 6: Final answer
    x = 2,064.74

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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.