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Finding the Fourth Proportional to 2,351.46, 3,244.78 and 1,407.06

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Solution

The fourth proportional to 2,351.46, 3,244.78 and 1,407.06 is: 1,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.46 : 3,244.78 = 1,407.06 : x
  2. Step 2: Convert to fraction form
    2,351.46/3,244.78 = 1,407.06/x
  3. Step 3: Cross multiply
    2,351.46x = 3,244.78 × 1,407.06
  4. Step 4: Simplify right side
    2,351.46x = 4,565,600.15
  5. Step 5: Solve for x
    x = 4,565,600.15/2,351.46
  6. Step 6: Final answer
    x = 1,941.60

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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.