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Finding the Fourth Proportional to 3,154.17, 4,352.70 and 1,828.00

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Solution

The fourth proportional to 3,154.17, 4,352.70 and 1,828.00 is: 2,522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.17 : 4,352.70 = 1,828.00 : x
  2. Step 2: Convert to fraction form
    3,154.17/4,352.70 = 1,828.00/x
  3. Step 3: Cross multiply
    3,154.17x = 4,352.70 × 1,828.00
  4. Step 4: Simplify right side
    3,154.17x = 7,956,717.86
  5. Step 5: Solve for x
    x = 7,956,717.86/3,154.17
  6. Step 6: Final answer
    x = 2,522.60

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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.