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Finding the Fourth Proportional to 2,411.64, 3,612.42 and 1,258.20

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Solution

The fourth proportional to 2,411.64, 3,612.42 and 1,258.20 is: 1,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.64 : 3,612.42 = 1,258.20 : x
  2. Step 2: Convert to fraction form
    2,411.64/3,612.42 = 1,258.20/x
  3. Step 3: Cross multiply
    2,411.64x = 3,612.42 × 1,258.20
  4. Step 4: Simplify right side
    2,411.64x = 4,545,146.84
  5. Step 5: Solve for x
    x = 4,545,146.84/2,411.64
  6. Step 6: Final answer
    x = 1,884.67

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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.