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Finding the Fourth Proportional to 3,148.56, 4,720.71 and 1,762.85

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Solution

The fourth proportional to 3,148.56, 4,720.71 and 1,762.85 is: 2,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.56 : 4,720.71 = 1,762.85 : x
  2. Step 2: Convert to fraction form
    3,148.56/4,720.71 = 1,762.85/x
  3. Step 3: Cross multiply
    3,148.56x = 4,720.71 × 1,762.85
  4. Step 4: Simplify right side
    3,148.56x = 8,321,894.81
  5. Step 5: Solve for x
    x = 8,321,894.81/3,148.56
  6. Step 6: Final answer
    x = 2,643.08

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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.