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Finding the Fourth Proportional to 1,657.02, 2,483.91 and 1,226.10

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Solution

The fourth proportional to 1,657.02, 2,483.91 and 1,226.10 is: 1,837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.02 : 2,483.91 = 1,226.10 : x
  2. Step 2: Convert to fraction form
    1,657.02/2,483.91 = 1,226.10/x
  3. Step 3: Cross multiply
    1,657.02x = 2,483.91 × 1,226.10
  4. Step 4: Simplify right side
    1,657.02x = 3,045,522.05
  5. Step 5: Solve for x
    x = 3,045,522.05/1,657.02
  6. Step 6: Final answer
    x = 1,837.95

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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.