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Finding the Fourth Proportional to 1,807.50, 2,499.60 and 1,774.68

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Solution

The fourth proportional to 1,807.50, 2,499.60 and 1,774.68 is: 2,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.50 : 2,499.60 = 1,774.68 : x
  2. Step 2: Convert to fraction form
    1,807.50/2,499.60 = 1,774.68/x
  3. Step 3: Cross multiply
    1,807.50x = 2,499.60 × 1,774.68
  4. Step 4: Simplify right side
    1,807.50x = 4,435,990.13
  5. Step 5: Solve for x
    x = 4,435,990.13/1,807.50
  6. Step 6: Final answer
    x = 2,454.21

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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.