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Finding the Fourth Proportional to 2,346.85, 3,519.75 and 703.18

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Solution

The fourth proportional to 2,346.85, 3,519.75 and 703.18 is: 1,054.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.85 : 3,519.75 = 703.18 : x
  2. Step 2: Convert to fraction form
    2,346.85/3,519.75 = 703.18/x
  3. Step 3: Cross multiply
    2,346.85x = 3,519.75 × 703.18
  4. Step 4: Simplify right side
    2,346.85x = 2,475,017.81
  5. Step 5: Solve for x
    x = 2,475,017.81/2,346.85
  6. Step 6: Final answer
    x = 1,054.61

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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.