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Finding the Fourth Proportional to 2,373.64, 3,560.14 and 1,219.40

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Solution

The fourth proportional to 2,373.64, 3,560.14 and 1,219.40 is: 1,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.64 : 3,560.14 = 1,219.40 : x
  2. Step 2: Convert to fraction form
    2,373.64/3,560.14 = 1,219.40/x
  3. Step 3: Cross multiply
    2,373.64x = 3,560.14 × 1,219.40
  4. Step 4: Simplify right side
    2,373.64x = 4,341,234.72
  5. Step 5: Solve for x
    x = 4,341,234.72/2,373.64
  6. Step 6: Final answer
    x = 1,828.94

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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.