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Finding the Fourth Proportional to 3,132.64, 4,699.56 and 1,401.25

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Solution

The fourth proportional to 3,132.64, 4,699.56 and 1,401.25 is: 2,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.64 : 4,699.56 = 1,401.25 : x
  2. Step 2: Convert to fraction form
    3,132.64/4,699.56 = 1,401.25/x
  3. Step 3: Cross multiply
    3,132.64x = 4,699.56 × 1,401.25
  4. Step 4: Simplify right side
    3,132.64x = 6,585,258.45
  5. Step 5: Solve for x
    x = 6,585,258.45/3,132.64
  6. Step 6: Final answer
    x = 2,102.14

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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.