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Finding the Fourth Proportional to 2,870.75, 4,305.81 and 1,405.46

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Solution

The fourth proportional to 2,870.75, 4,305.81 and 1,405.46 is: 2,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.75 : 4,305.81 = 1,405.46 : x
  2. Step 2: Convert to fraction form
    2,870.75/4,305.81 = 1,405.46/x
  3. Step 3: Cross multiply
    2,870.75x = 4,305.81 × 1,405.46
  4. Step 4: Simplify right side
    2,870.75x = 6,051,622.19
  5. Step 5: Solve for x
    x = 6,051,622.19/2,870.75
  6. Step 6: Final answer
    x = 2,108.03

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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.