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Finding the Fourth Proportional to 2,303.78, 3,453.24 and 1,657.40

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Solution

The fourth proportional to 2,303.78, 3,453.24 and 1,657.40 is: 2,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.78 : 3,453.24 = 1,657.40 : x
  2. Step 2: Convert to fraction form
    2,303.78/3,453.24 = 1,657.40/x
  3. Step 3: Cross multiply
    2,303.78x = 3,453.24 × 1,657.40
  4. Step 4: Simplify right side
    2,303.78x = 5,723,399.98
  5. Step 5: Solve for x
    x = 5,723,399.98/2,303.78
  6. Step 6: Final answer
    x = 2,484.35

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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.