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Finding the Fourth Proportional to 2,848.47, 4,272.40 and 999.64

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Solution

The fourth proportional to 2,848.47, 4,272.40 and 999.64 is: 1,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.47 : 4,272.40 = 999.64 : x
  2. Step 2: Convert to fraction form
    2,848.47/4,272.40 = 999.64/x
  3. Step 3: Cross multiply
    2,848.47x = 4,272.40 × 999.64
  4. Step 4: Simplify right side
    2,848.47x = 4,270,862.90
  5. Step 5: Solve for x
    x = 4,270,862.90/2,848.47
  6. Step 6: Final answer
    x = 1,499.36

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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.