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Finding the Fourth Proportional to 2,089.92, 2,886.40 and 1,425.60

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Solution

The fourth proportional to 2,089.92, 2,886.40 and 1,425.60 is: 1,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.92 : 2,886.40 = 1,425.60 : x
  2. Step 2: Convert to fraction form
    2,089.92/2,886.40 = 1,425.60/x
  3. Step 3: Cross multiply
    2,089.92x = 2,886.40 × 1,425.60
  4. Step 4: Simplify right side
    2,089.92x = 4,114,851.84
  5. Step 5: Solve for x
    x = 4,114,851.84/2,089.92
  6. Step 6: Final answer
    x = 1,968.90

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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.