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Finding the Fourth Proportional to 3,237.76, 4,856.64 and 1,507.60

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Solution

The fourth proportional to 3,237.76, 4,856.64 and 1,507.60 is: 2,261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.76 : 4,856.64 = 1,507.60 : x
  2. Step 2: Convert to fraction form
    3,237.76/4,856.64 = 1,507.60/x
  3. Step 3: Cross multiply
    3,237.76x = 4,856.64 × 1,507.60
  4. Step 4: Simplify right side
    3,237.76x = 7,321,870.46
  5. Step 5: Solve for x
    x = 7,321,870.46/3,237.76
  6. Step 6: Final answer
    x = 2,261.40

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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.