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Finding the Fourth Proportional to 1,915.63, 2,643.42 and 1,076.47

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Solution

The fourth proportional to 1,915.63, 2,643.42 and 1,076.47 is: 1,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.63 : 2,643.42 = 1,076.47 : x
  2. Step 2: Convert to fraction form
    1,915.63/2,643.42 = 1,076.47/x
  3. Step 3: Cross multiply
    1,915.63x = 2,643.42 × 1,076.47
  4. Step 4: Simplify right side
    1,915.63x = 2,845,559.76
  5. Step 5: Solve for x
    x = 2,845,559.76/1,915.63
  6. Step 6: Final answer
    x = 1,485.45

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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.