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Finding the Fourth Proportional to 2,848.32, 4,276.50 and 1,462.68

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Solution

The fourth proportional to 2,848.32, 4,276.50 and 1,462.68 is: 2,196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.32 : 4,276.50 = 1,462.68 : x
  2. Step 2: Convert to fraction form
    2,848.32/4,276.50 = 1,462.68/x
  3. Step 3: Cross multiply
    2,848.32x = 4,276.50 × 1,462.68
  4. Step 4: Simplify right side
    2,848.32x = 6,255,151.02
  5. Step 5: Solve for x
    x = 6,255,151.02/2,848.32
  6. Step 6: Final answer
    x = 2,196.08

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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.