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Finding the Fourth Proportional to 2,832.95, 3,909.46 and 1,574.12

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Solution

The fourth proportional to 2,832.95, 3,909.46 and 1,574.12 is: 2,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.95 : 3,909.46 = 1,574.12 : x
  2. Step 2: Convert to fraction form
    2,832.95/3,909.46 = 1,574.12/x
  3. Step 3: Cross multiply
    2,832.95x = 3,909.46 × 1,574.12
  4. Step 4: Simplify right side
    2,832.95x = 6,153,931.76
  5. Step 5: Solve for x
    x = 6,153,931.76/2,832.95
  6. Step 6: Final answer
    x = 2,172.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.