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Finding the Fourth Proportional to 2,359.56, 3,534.48 and 1,894.80

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Solution

The fourth proportional to 2,359.56, 3,534.48 and 1,894.80 is: 2,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.56 : 3,534.48 = 1,894.80 : x
  2. Step 2: Convert to fraction form
    2,359.56/3,534.48 = 1,894.80/x
  3. Step 3: Cross multiply
    2,359.56x = 3,534.48 × 1,894.80
  4. Step 4: Simplify right side
    2,359.56x = 6,697,132.70
  5. Step 5: Solve for x
    x = 6,697,132.70/2,359.56
  6. Step 6: Final answer
    x = 2,838.30

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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.