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Finding the Fourth Proportional to 2,334.64, 3,498.93 and 946.35

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Solution

The fourth proportional to 2,334.64, 3,498.93 and 946.35 is: 1,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.64 : 3,498.93 = 946.35 : x
  2. Step 2: Convert to fraction form
    2,334.64/3,498.93 = 946.35/x
  3. Step 3: Cross multiply
    2,334.64x = 3,498.93 × 946.35
  4. Step 4: Simplify right side
    2,334.64x = 3,311,207.67
  5. Step 5: Solve for x
    x = 3,311,207.67/2,334.64
  6. Step 6: Final answer
    x = 1,418.30

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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.