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Finding the Fourth Proportional to 4,157.61, 6,237.63 and 1,560.75

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Solution

The fourth proportional to 4,157.61, 6,237.63 and 1,560.75 is: 2,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.61 : 6,237.63 = 1,560.75 : x
  2. Step 2: Convert to fraction form
    4,157.61/6,237.63 = 1,560.75/x
  3. Step 3: Cross multiply
    4,157.61x = 6,237.63 × 1,560.75
  4. Step 4: Simplify right side
    4,157.61x = 9,735,381.02
  5. Step 5: Solve for x
    x = 9,735,381.02/4,157.61
  6. Step 6: Final answer
    x = 2,341.58

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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.