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Finding the Fourth Proportional to 3,185.96, 4,776.98 and 1,430.60

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Solution

The fourth proportional to 3,185.96, 4,776.98 and 1,430.60 is: 2,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.96 : 4,776.98 = 1,430.60 : x
  2. Step 2: Convert to fraction form
    3,185.96/4,776.98 = 1,430.60/x
  3. Step 3: Cross multiply
    3,185.96x = 4,776.98 × 1,430.60
  4. Step 4: Simplify right side
    3,185.96x = 6,833,916.55
  5. Step 5: Solve for x
    x = 6,833,916.55/3,185.96
  6. Step 6: Final answer
    x = 2,145.01

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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.